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Finding the Fourth Proportional to 449,323,557.80, 630,866,966.20 and 449,323,557.80

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Solution

The fourth proportional to 449,323,557.80, 630,866,966.20 and 449,323,557.80 is: 630,866,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,323,557.80 : 630,866,966.20 = 449,323,557.80 : x
  2. Step 2: Convert to fraction form
    449,323,557.80/630,866,966.20 = 449,323,557.80/x
  3. Step 3: Cross multiply
    449,323,557.80x = 630,866,966.20 × 449,323,557.80
  4. Step 4: Simplify right side
    449,323,557.80x = 283,463,389,751,476,384
  5. Step 5: Solve for x
    x = 283,463,389,751,476,384/449,323,557.80
  6. Step 6: Final answer
    x = 630,866,966.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.