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Finding the Fourth Proportional to 472,445,998.65, 708,668,997.98 and 472,445,998.65

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Solution

The fourth proportional to 472,445,998.65, 708,668,997.98 and 472,445,998.65 is: 708,668,997.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,445,998.65 : 708,668,997.98 = 472,445,998.65 : x
  2. Step 2: Convert to fraction form
    472,445,998.65/708,668,997.98 = 472,445,998.65/x
  3. Step 3: Cross multiply
    472,445,998.65x = 708,668,997.98 × 472,445,998.65
  4. Step 4: Simplify right side
    472,445,998.65x = 334,807,832,460,593,728
  5. Step 5: Solve for x
    x = 334,807,832,460,593,728/472,445,998.65
  6. Step 6: Final answer
    x = 708,668,997.98

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Similar ratio
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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.