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Finding the Fourth Proportional to 498,636,006.40, 747,954,009.60 and 302,215,412.80

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Solution

The fourth proportional to 498,636,006.40, 747,954,009.60 and 302,215,412.80 is: 453,323,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,636,006.40 : 747,954,009.60 = 302,215,412.80 : x
  2. Step 2: Convert to fraction form
    498,636,006.40/747,954,009.60 = 302,215,412.80/x
  3. Step 3: Cross multiply
    498,636,006.40x = 747,954,009.60 × 302,215,412.80
  4. Step 4: Simplify right side
    498,636,006.40x = 226,043,229,766,679,168
  5. Step 5: Solve for x
    x = 226,043,229,766,679,168/498,636,006.40
  6. Step 6: Final answer
    x = 453,323,119.20

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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.