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Finding the Fourth Proportional to 548,714,116.59, 822,897,716.62 and 180,188,316.15

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Solution

The fourth proportional to 548,714,116.59, 822,897,716.62 and 180,188,316.15 is: 270,225,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,714,116.59 : 822,897,716.62 = 180,188,316.15 : x
  2. Step 2: Convert to fraction form
    548,714,116.59/822,897,716.62 = 180,188,316.15/x
  3. Step 3: Cross multiply
    548,714,116.59x = 822,897,716.62 × 180,188,316.15
  4. Step 4: Simplify right side
    548,714,116.59x = 148,276,553,921,437,664
  5. Step 5: Solve for x
    x = 148,276,553,921,437,664/548,714,116.59
  6. Step 6: Final answer
    x = 270,225,513.50

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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.