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Finding the Fourth Proportional to 356,662,405.60, 534,993,608.40 and 314,572,278.40

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Solution

The fourth proportional to 356,662,405.60, 534,993,608.40 and 314,572,278.40 is: 471,858,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,662,405.60 : 534,993,608.40 = 314,572,278.40 : x
  2. Step 2: Convert to fraction form
    356,662,405.60/534,993,608.40 = 314,572,278.40/x
  3. Step 3: Cross multiply
    356,662,405.60x = 534,993,608.40 × 314,572,278.40
  4. Step 4: Simplify right side
    356,662,405.60x = 168,294,158,323,825,344
  5. Step 5: Solve for x
    x = 168,294,158,323,825,344/356,662,405.60
  6. Step 6: Final answer
    x = 471,858,417.60

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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.