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Finding the Fourth Proportional to 748,651,566.40, 1,122,977,349.60 and 748,651,566.40

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Solution

The fourth proportional to 748,651,566.40, 1,122,977,349.60 and 748,651,566.40 is: 1,122,977,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,651,566.40 : 1,122,977,349.60 = 748,651,566.40 : x
  2. Step 2: Convert to fraction form
    748,651,566.40/1,122,977,349.60 = 748,651,566.40/x
  3. Step 3: Cross multiply
    748,651,566.40x = 1,122,977,349.60 × 748,651,566.40
  4. Step 4: Simplify right side
    748,651,566.40x = 840,718,751,809,760,256
  5. Step 5: Solve for x
    x = 840,718,751,809,760,256/748,651,566.40
  6. Step 6: Final answer
    x = 1,122,977,349.60

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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.