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Finding the Fourth Proportional to 625,852,655,998.65, 938,778,983,997.93 and 625,852,655,998.65

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Solution

The fourth proportional to 625,852,655,998.65, 938,778,983,997.93 and 625,852,655,998.65 is: 938,778,983,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,852,655,998.65 : 938,778,983,997.93 = 625,852,655,998.65 : x
  2. Step 2: Convert to fraction form
    625,852,655,998.65/938,778,983,997.93 = 625,852,655,998.65/x
  3. Step 3: Cross multiply
    625,852,655,998.65x = 938,778,983,997.93 × 625,852,655,998.65
  4. Step 4: Simplify right side
    625,852,655,998.65x = 587,537,320,530,818,669,477,888
  5. Step 5: Solve for x
    x = 587,537,320,530,818,669,477,888/625,852,655,998.65
  6. Step 6: Final answer
    x = 938,778,983,997.93

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.