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Finding the Fourth Proportional to 497,923,862.70, 698,113,774.50 and 497,923,862.70

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Solution

The fourth proportional to 497,923,862.70, 698,113,774.50 and 497,923,862.70 is: 698,113,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,923,862.70 : 698,113,774.50 = 497,923,862.70 : x
  2. Step 2: Convert to fraction form
    497,923,862.70/698,113,774.50 = 497,923,862.70/x
  3. Step 3: Cross multiply
    497,923,862.70x = 698,113,774.50 × 497,923,862.70
  4. Step 4: Simplify right side
    497,923,862.70x = 347,607,507,203,116,736
  5. Step 5: Solve for x
    x = 347,607,507,203,116,736/497,923,862.70
  6. Step 6: Final answer
    x = 698,113,774.50

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