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Finding the Fourth Proportional to 487,981,736,700.45, 731,972,605,050.68 and 487,981,736,700.45

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Solution

The fourth proportional to 487,981,736,700.45, 731,972,605,050.68 and 487,981,736,700.45 is: 731,972,605,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,981,736,700.45 : 731,972,605,050.68 = 487,981,736,700.45 : x
  2. Step 2: Convert to fraction form
    487,981,736,700.45/731,972,605,050.68 = 487,981,736,700.45/x
  3. Step 3: Cross multiply
    487,981,736,700.45x = 731,972,605,050.68 × 487,981,736,700.45
  4. Step 4: Simplify right side
    487,981,736,700.45x = 357,189,263,029,783,419,158,528
  5. Step 5: Solve for x
    x = 357,189,263,029,783,419,158,528/487,981,736,700.45
  6. Step 6: Final answer
    x = 731,972,605,050.68

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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.