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Finding the Fourth Proportional to 653,829,894,211.60, 980,744,841,317.40 and 653,829,894,211.60

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Solution

The fourth proportional to 653,829,894,211.60, 980,744,841,317.40 and 653,829,894,211.60 is: 980,744,841,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,829,894,211.60 : 980,744,841,317.40 = 653,829,894,211.60 : x
  2. Step 2: Convert to fraction form
    653,829,894,211.60/980,744,841,317.40 = 653,829,894,211.60/x
  3. Step 3: Cross multiply
    653,829,894,211.60x = 980,744,841,317.40 × 653,829,894,211.60
  4. Step 4: Simplify right side
    653,829,894,211.60x = 641,240,295,847,128,123,572,224
  5. Step 5: Solve for x
    x = 641,240,295,847,128,123,572,224/653,829,894,211.60
  6. Step 6: Final answer
    x = 980,744,841,317.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.