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Finding the Fourth Proportional to 564,749,470.80, 847,173,025.71 and 155,805,621.30

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Solution

The fourth proportional to 564,749,470.80, 847,173,025.71 and 155,805,621.30 is: 233,721,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,749,470.80 : 847,173,025.71 = 155,805,621.30 : x
  2. Step 2: Convert to fraction form
    564,749,470.80/847,173,025.71 = 155,805,621.30/x
  3. Step 3: Cross multiply
    564,749,470.80x = 847,173,025.71 × 155,805,621.30
  4. Step 4: Simplify right side
    564,749,470.80x = 131,994,319,619,347,440
  5. Step 5: Solve for x
    x = 131,994,319,619,347,440/564,749,470.80
  6. Step 6: Final answer
    x = 233,721,900.50

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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.