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Finding the Fourth Proportional to 498,230,881.80, 747,346,322.70 and 265,778,588.40

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Solution

The fourth proportional to 498,230,881.80, 747,346,322.70 and 265,778,588.40 is: 398,667,882.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,230,881.80 : 747,346,322.70 = 265,778,588.40 : x
  2. Step 2: Convert to fraction form
    498,230,881.80/747,346,322.70 = 265,778,588.40/x
  3. Step 3: Cross multiply
    498,230,881.80x = 747,346,322.70 × 265,778,588.40
  4. Step 4: Simplify right side
    498,230,881.80x = 198,628,650,693,136,896
  5. Step 5: Solve for x
    x = 198,628,650,693,136,896/498,230,881.80
  6. Step 6: Final answer
    x = 398,667,882.60

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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.