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Finding the Fourth Proportional to 413,704,641.80, 620,556,962.70 and 291,260,635.40

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Solution

The fourth proportional to 413,704,641.80, 620,556,962.70 and 291,260,635.40 is: 436,890,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,704,641.80 : 620,556,962.70 = 291,260,635.40 : x
  2. Step 2: Convert to fraction form
    413,704,641.80/620,556,962.70 = 291,260,635.40/x
  3. Step 3: Cross multiply
    413,704,641.80x = 620,556,962.70 × 291,260,635.40
  4. Step 4: Simplify right side
    413,704,641.80x = 180,743,815,257,896,096
  5. Step 5: Solve for x
    x = 180,743,815,257,896,096/413,704,641.80
  6. Step 6: Final answer
    x = 436,890,953.10

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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.