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Finding the Fourth Proportional to 487,981,736,698.95, 731,972,605,048.43 and 487,981,736,698.95

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Solution

The fourth proportional to 487,981,736,698.95, 731,972,605,048.43 and 487,981,736,698.95 is: 731,972,605,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,981,736,698.95 : 731,972,605,048.43 = 487,981,736,698.95 : x
  2. Step 2: Convert to fraction form
    487,981,736,698.95/731,972,605,048.43 = 487,981,736,698.95/x
  3. Step 3: Cross multiply
    487,981,736,698.95x = 731,972,605,048.43 × 487,981,736,698.95
  4. Step 4: Simplify right side
    487,981,736,698.95x = 357,189,263,027,587,550,019,584
  5. Step 5: Solve for x
    x = 357,189,263,027,587,550,019,584/487,981,736,698.95
  6. Step 6: Final answer
    x = 731,972,605,048.43

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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.