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Finding the Fourth Proportional to 78,711,933,643.70, 118,067,900,465.55 and 78,711,933,643.70

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Solution

The fourth proportional to 78,711,933,643.70, 118,067,900,465.55 and 78,711,933,643.70 is: 118,067,900,465.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,711,933,643.70 : 118,067,900,465.55 = 78,711,933,643.70 : x
  2. Step 2: Convert to fraction form
    78,711,933,643.70/118,067,900,465.55 = 78,711,933,643.70/x
  3. Step 3: Cross multiply
    78,711,933,643.70x = 118,067,900,465.55 × 78,711,933,643.70
  4. Step 4: Simplify right side
    78,711,933,643.70x = 9,293,352,746,895,348,334,592
  5. Step 5: Solve for x
    x = 9,293,352,746,895,348,334,592/78,711,933,643.70
  6. Step 6: Final answer
    x = 118,067,900,465.55

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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.