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Finding the Fourth Proportional to 67,878,488,057.10, 101,817,732,085.65 and 67,878,488,057.10

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Solution

The fourth proportional to 67,878,488,057.10, 101,817,732,085.65 and 67,878,488,057.10 is: 101,817,732,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,878,488,057.10 : 101,817,732,085.65 = 67,878,488,057.10 : x
  2. Step 2: Convert to fraction form
    67,878,488,057.10/101,817,732,085.65 = 67,878,488,057.10/x
  3. Step 3: Cross multiply
    67,878,488,057.10x = 101,817,732,085.65 × 67,878,488,057.10
  4. Step 4: Simplify right side
    67,878,488,057.10x = 6,911,233,711,376,800,153,600
  5. Step 5: Solve for x
    x = 6,911,233,711,376,800,153,600/67,878,488,057.10
  6. Step 6: Final answer
    x = 101,817,732,085.65

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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.