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Finding the Fourth Proportional to 463,637,643.40, 695,456,465.10 and 415,264,702.60

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Solution

The fourth proportional to 463,637,643.40, 695,456,465.10 and 415,264,702.60 is: 622,897,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,637,643.40 : 695,456,465.10 = 415,264,702.60 : x
  2. Step 2: Convert to fraction form
    463,637,643.40/695,456,465.10 = 415,264,702.60/x
  3. Step 3: Cross multiply
    463,637,643.40x = 695,456,465.10 × 415,264,702.60
  4. Step 4: Simplify right side
    463,637,643.40x = 288,798,522,150,998,784
  5. Step 5: Solve for x
    x = 288,798,522,150,998,784/463,637,643.40
  6. Step 6: Final answer
    x = 622,897,053.90

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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.