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Finding the Fourth Proportional to 797,161,503.60, 1,195,742,255.40 and 797,161,503.60

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Solution

The fourth proportional to 797,161,503.60, 1,195,742,255.40 and 797,161,503.60 is: 1,195,742,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,161,503.60 : 1,195,742,255.40 = 797,161,503.60 : x
  2. Step 2: Convert to fraction form
    797,161,503.60/1,195,742,255.40 = 797,161,503.60/x
  3. Step 3: Cross multiply
    797,161,503.60x = 1,195,742,255.40 × 797,161,503.60
  4. Step 4: Simplify right side
    797,161,503.60x = 953,199,694,232,719,360
  5. Step 5: Solve for x
    x = 953,199,694,232,719,360/797,161,503.60
  6. Step 6: Final answer
    x = 1,195,742,255.40

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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.