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Finding the Fourth Proportional to 108,613,792,227.15, 162,920,688,340.72 and 108,613,792,227.15

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Solution

The fourth proportional to 108,613,792,227.15, 162,920,688,340.72 and 108,613,792,227.15 is: 162,920,688,340.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,613,792,227.15 : 162,920,688,340.72 = 108,613,792,227.15 : x
  2. Step 2: Convert to fraction form
    108,613,792,227.15/162,920,688,340.72 = 108,613,792,227.15/x
  3. Step 3: Cross multiply
    108,613,792,227.15x = 162,920,688,340.72 × 108,613,792,227.15
  4. Step 4: Simplify right side
    108,613,792,227.15x = 17,695,433,792,943,221,112,832
  5. Step 5: Solve for x
    x = 17,695,433,792,943,221,112,832/108,613,792,227.15
  6. Step 6: Final answer
    x = 162,920,688,340.72

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