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Finding the Fourth Proportional to 155,141,648,998.65, 232,712,473,497.97 and 155,141,648,998.65

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Solution

The fourth proportional to 155,141,648,998.65, 232,712,473,497.97 and 155,141,648,998.65 is: 232,712,473,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,141,648,998.65 : 232,712,473,497.97 = 155,141,648,998.65 : x
  2. Step 2: Convert to fraction form
    155,141,648,998.65/232,712,473,497.97 = 155,141,648,998.65/x
  3. Step 3: Cross multiply
    155,141,648,998.65x = 232,712,473,497.97 × 155,141,648,998.65
  4. Step 4: Simplify right side
    155,141,648,998.65x = 36,103,396,881,029,702,615,040
  5. Step 5: Solve for x
    x = 36,103,396,881,029,702,615,040/155,141,648,998.65
  6. Step 6: Final answer
    x = 232,712,473,497.97

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Double scale
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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.