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Finding the Fourth Proportional to 736,722,603.88, 1,016,670,957.78 and 406,690,657

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Solution

The fourth proportional to 736,722,603.88, 1,016,670,957.78 and 406,690,657 is: 561,229,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,722,603.88 : 1,016,670,957.78 = 406,690,657 : x
  2. Step 2: Convert to fraction form
    736,722,603.88/1,016,670,957.78 = 406,690,657/x
  3. Step 3: Cross multiply
    736,722,603.88x = 1,016,670,957.78 × 406,690,657
  4. Step 4: Simplify right side
    736,722,603.88x = 413,470,579,772,367,424
  5. Step 5: Solve for x
    x = 413,470,579,772,367,424/736,722,603.88
  6. Step 6: Final answer
    x = 561,229,664.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.