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Finding the Fourth Proportional to 778,572,023.60, 1,087,960,099.60 and 778,572,023.60

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Solution

The fourth proportional to 778,572,023.60, 1,087,960,099.60 and 778,572,023.60 is: 1,087,960,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,572,023.60 : 1,087,960,099.60 = 778,572,023.60 : x
  2. Step 2: Convert to fraction form
    778,572,023.60/1,087,960,099.60 = 778,572,023.60/x
  3. Step 3: Cross multiply
    778,572,023.60x = 1,087,960,099.60 × 778,572,023.60
  4. Step 4: Simplify right side
    778,572,023.60x = 847,055,296,341,629,440
  5. Step 5: Solve for x
    x = 847,055,296,341,629,440/778,572,023.60
  6. Step 6: Final answer
    x = 1,087,960,099.60

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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.