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Finding the Fourth Proportional to 83,991,816,101.45, 125,987,724,152.17 and 83,991,816,101.45

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Solution

The fourth proportional to 83,991,816,101.45, 125,987,724,152.17 and 83,991,816,101.45 is: 125,987,724,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,991,816,101.45 : 125,987,724,152.17 = 83,991,816,101.45 : x
  2. Step 2: Convert to fraction form
    83,991,816,101.45/125,987,724,152.17 = 83,991,816,101.45/x
  3. Step 3: Cross multiply
    83,991,816,101.45x = 125,987,724,152.17 × 83,991,816,101.45
  4. Step 4: Simplify right side
    83,991,816,101.45x = 10,581,937,758,029,272,317,952
  5. Step 5: Solve for x
    x = 10,581,937,758,029,272,317,952/83,991,816,101.45
  6. Step 6: Final answer
    x = 125,987,724,152.17

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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.