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Finding the Fourth Proportional to 460,404,795.60, 690,607,193.40 and 460,404,795.60

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Solution

The fourth proportional to 460,404,795.60, 690,607,193.40 and 460,404,795.60 is: 690,607,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,404,795.60 : 690,607,193.40 = 460,404,795.60 : x
  2. Step 2: Convert to fraction form
    460,404,795.60/690,607,193.40 = 460,404,795.60/x
  3. Step 3: Cross multiply
    460,404,795.60x = 690,607,193.40 × 460,404,795.60
  4. Step 4: Simplify right side
    460,404,795.60x = 317,958,863,717,216,704
  5. Step 5: Solve for x
    x = 317,958,863,717,216,704/460,404,795.60
  6. Step 6: Final answer
    x = 690,607,193.40

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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.