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Finding the Fourth Proportional to 497,359,931.60, 746,039,897.40 and 467,101,960.40

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Solution

The fourth proportional to 497,359,931.60, 746,039,897.40 and 467,101,960.40 is: 700,652,940.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,359,931.60 : 746,039,897.40 = 467,101,960.40 : x
  2. Step 2: Convert to fraction form
    497,359,931.60/746,039,897.40 = 467,101,960.40/x
  3. Step 3: Cross multiply
    497,359,931.60x = 746,039,897.40 × 467,101,960.40
  4. Step 4: Simplify right side
    497,359,931.60x = 348,476,698,612,154,816
  5. Step 5: Solve for x
    x = 348,476,698,612,154,816/497,359,931.60
  6. Step 6: Final answer
    x = 700,652,940.60

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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.