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Finding the Fourth Proportional to 598,881,603.60, 898,322,405.40 and 511,205,648.40

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Solution

The fourth proportional to 598,881,603.60, 898,322,405.40 and 511,205,648.40 is: 766,808,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,881,603.60 : 898,322,405.40 = 511,205,648.40 : x
  2. Step 2: Convert to fraction form
    598,881,603.60/898,322,405.40 = 511,205,648.40/x
  3. Step 3: Cross multiply
    598,881,603.60x = 898,322,405.40 × 511,205,648.40
  4. Step 4: Simplify right side
    598,881,603.60x = 459,227,487,724,754,624
  5. Step 5: Solve for x
    x = 459,227,487,724,754,624/598,881,603.60
  6. Step 6: Final answer
    x = 766,808,472.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.