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Finding the Fourth Proportional to 559,872,760.80, 839,809,141.20 and 506,125,048.80

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Solution

The fourth proportional to 559,872,760.80, 839,809,141.20 and 506,125,048.80 is: 759,187,573.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,760.80 : 839,809,141.20 = 506,125,048.80 : x
  2. Step 2: Convert to fraction form
    559,872,760.80/839,809,141.20 = 506,125,048.80/x
  3. Step 3: Cross multiply
    559,872,760.80x = 839,809,141.20 × 506,125,048.80
  4. Step 4: Simplify right side
    559,872,760.80x = 425,048,442,572,536,128
  5. Step 5: Solve for x
    x = 425,048,442,572,536,128/559,872,760.80
  6. Step 6: Final answer
    x = 759,187,573.20

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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.