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Finding the Fourth Proportional to 82,861,596,007.10, 124,292,394,010.65 and 82,861,596,007.10

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Solution

The fourth proportional to 82,861,596,007.10, 124,292,394,010.65 and 82,861,596,007.10 is: 124,292,394,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861,596,007.10 : 124,292,394,010.65 = 82,861,596,007.10 : x
  2. Step 2: Convert to fraction form
    82,861,596,007.10/124,292,394,010.65 = 82,861,596,007.10/x
  3. Step 3: Cross multiply
    82,861,596,007.10x = 124,292,394,010.65 × 82,861,596,007.10
  4. Step 4: Simplify right side
    82,861,596,007.10x = 10,299,066,139,265,776,746,496
  5. Step 5: Solve for x
    x = 10,299,066,139,265,776,746,496/82,861,596,007.10
  6. Step 6: Final answer
    x = 124,292,394,010.65

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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.