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Finding the Fourth Proportional to 10,498,976,999.90, 15,748,465,499.85 and 10,498,976,999.90

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Solution

The fourth proportional to 10,498,976,999.90, 15,748,465,499.85 and 10,498,976,999.90 is: 15,748,465,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498,976,999.90 : 15,748,465,499.85 = 10,498,976,999.90 : x
  2. Step 2: Convert to fraction form
    10,498,976,999.90/15,748,465,499.85 = 10,498,976,999.90/x
  3. Step 3: Cross multiply
    10,498,976,999.90x = 15,748,465,499.85 × 10,498,976,999.90
  4. Step 4: Simplify right side
    10,498,976,999.90x = 165,342,777,066,643,816,448
  5. Step 5: Solve for x
    x = 165,342,777,066,643,816,448/10,498,976,999.90
  6. Step 6: Final answer
    x = 15,748,465,499.85

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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.