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Finding the Fourth Proportional to 497,665,655.40, 695,119,486.20 and 497,665,655.40

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Solution

The fourth proportional to 497,665,655.40, 695,119,486.20 and 497,665,655.40 is: 695,119,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,665,655.40 : 695,119,486.20 = 497,665,655.40 : x
  2. Step 2: Convert to fraction form
    497,665,655.40/695,119,486.20 = 497,665,655.40/x
  3. Step 3: Cross multiply
    497,665,655.40x = 695,119,486.20 × 497,665,655.40
  4. Step 4: Simplify right side
    497,665,655.40x = 345,937,094,681,034,240
  5. Step 5: Solve for x
    x = 345,937,094,681,034,240/497,665,655.40
  6. Step 6: Final answer
    x = 695,119,486.20

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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.