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Finding the Fourth Proportional to 83,140,992,002.35, 124,711,488,003.53 and 83,140,992,002.35

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Solution

The fourth proportional to 83,140,992,002.35, 124,711,488,003.53 and 83,140,992,002.35 is: 124,711,488,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140,992,002.35 : 124,711,488,003.53 = 83,140,992,002.35 : x
  2. Step 2: Convert to fraction form
    83,140,992,002.35/124,711,488,003.53 = 83,140,992,002.35/x
  3. Step 3: Cross multiply
    83,140,992,002.35x = 124,711,488,003.53 × 83,140,992,002.35
  4. Step 4: Simplify right side
    83,140,992,002.35x = 10,368,636,826,702,657,355,776
  5. Step 5: Solve for x
    x = 10,368,636,826,702,657,355,776/83,140,992,002.35
  6. Step 6: Final answer
    x = 124,711,488,003.53

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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.