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Finding the Fourth Proportional to 21,179,792,327.40, 31,769,688,491.10 and 21,179,792,327.40

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Solution

The fourth proportional to 21,179,792,327.40, 31,769,688,491.10 and 21,179,792,327.40 is: 31,769,688,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179,792,327.40 : 31,769,688,491.10 = 21,179,792,327.40 : x
  2. Step 2: Convert to fraction form
    21,179,792,327.40/31,769,688,491.10 = 21,179,792,327.40/x
  3. Step 3: Cross multiply
    21,179,792,327.40x = 31,769,688,491.10 × 21,179,792,327.40
  4. Step 4: Simplify right side
    21,179,792,327.40x = 672,875,404,547,687,841,792
  5. Step 5: Solve for x
    x = 672,875,404,547,687,841,792/21,179,792,327.40
  6. Step 6: Final answer
    x = 31,769,688,491.10

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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.