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Finding the Fourth Proportional to 314,929,032.60, 472,393,548.90 and 314,929,032.60

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Solution

The fourth proportional to 314,929,032.60, 472,393,548.90 and 314,929,032.60 is: 472,393,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929,032.60 : 472,393,548.90 = 314,929,032.60 : x
  2. Step 2: Convert to fraction form
    314,929,032.60/472,393,548.90 = 314,929,032.60/x
  3. Step 3: Cross multiply
    314,929,032.60x = 472,393,548.90 × 314,929,032.60
  4. Step 4: Simplify right side
    314,929,032.60x = 148,770,443,361,557,792
  5. Step 5: Solve for x
    x = 148,770,443,361,557,792/314,929,032.60
  6. Step 6: Final answer
    x = 472,393,548.90

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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.