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Finding the Fourth Proportional to 497,664,998.90, 695,118,567.10 and 497,664,998.90

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Solution

The fourth proportional to 497,664,998.90, 695,118,567.10 and 497,664,998.90 is: 695,118,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,664,998.90 : 695,118,567.10 = 497,664,998.90 : x
  2. Step 2: Convert to fraction form
    497,664,998.90/695,118,567.10 = 497,664,998.90/x
  3. Step 3: Cross multiply
    497,664,998.90x = 695,118,567.10 × 497,664,998.90
  4. Step 4: Simplify right side
    497,664,998.90x = 345,936,180,931,191,040
  5. Step 5: Solve for x
    x = 345,936,180,931,191,040/497,664,998.90
  6. Step 6: Final answer
    x = 695,118,567.10

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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.