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Finding the Fourth Proportional to 463,670,207.60, 694,908,114.60 and 355,428,287.60

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Solution

The fourth proportional to 463,670,207.60, 694,908,114.60 and 355,428,287.60 is: 532,684,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,670,207.60 : 694,908,114.60 = 355,428,287.60 : x
  2. Step 2: Convert to fraction form
    463,670,207.60/694,908,114.60 = 355,428,287.60/x
  3. Step 3: Cross multiply
    463,670,207.60x = 694,908,114.60 × 355,428,287.60
  4. Step 4: Simplify right side
    463,670,207.60x = 246,990,001,211,622,592
  5. Step 5: Solve for x
    x = 246,990,001,211,622,592/463,670,207.60
  6. Step 6: Final answer
    x = 532,684,647.76

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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.