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Finding the Fourth Proportional to 497,664,830.40, 695,118,331.20 and 497,664,830.40

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Solution

The fourth proportional to 497,664,830.40, 695,118,331.20 and 497,664,830.40 is: 695,118,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,830.40 : 695,118,331.20 = 497,664,830.40 : x
  2. Step 2: Convert to fraction form
    497,664,830.40/695,118,331.20 = 497,664,830.40/x
  3. Step 3: Cross multiply
    497,664,830.40x = 695,118,331.20 × 497,664,830.40
  4. Step 4: Simplify right side
    497,664,830.40x = 345,935,946,404,579,008
  5. Step 5: Solve for x
    x = 345,935,946,404,579,008/497,664,830.40
  6. Step 6: Final answer
    x = 695,118,331.20

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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.