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Finding the Fourth Proportional to 398,817,894.90, 598,167,006.02 and 126,153,232.50

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Solution

The fourth proportional to 398,817,894.90, 598,167,006.02 and 126,153,232.50 is: 189,210,921.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,817,894.90 : 598,167,006.02 = 126,153,232.50 : x
  2. Step 2: Convert to fraction form
    398,817,894.90/598,167,006.02 = 126,153,232.50/x
  3. Step 3: Cross multiply
    398,817,894.90x = 598,167,006.02 × 126,153,232.50
  4. Step 4: Simplify right side
    398,817,894.90x = 75,460,701,384,269,952
  5. Step 5: Solve for x
    x = 75,460,701,384,269,952/398,817,894.90
  6. Step 6: Final answer
    x = 189,210,921.45

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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.