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Finding the Fourth Proportional to 534,851,766.20, 802,277,649.30 and 534,851,766.20

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Solution

The fourth proportional to 534,851,766.20, 802,277,649.30 and 534,851,766.20 is: 802,277,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,851,766.20 : 802,277,649.30 = 534,851,766.20 : x
  2. Step 2: Convert to fraction form
    534,851,766.20/802,277,649.30 = 534,851,766.20/x
  3. Step 3: Cross multiply
    534,851,766.20x = 802,277,649.30 × 534,851,766.20
  4. Step 4: Simplify right side
    534,851,766.20x = 429,099,617,710,889,152
  5. Step 5: Solve for x
    x = 429,099,617,710,889,152/534,851,766.20
  6. Step 6: Final answer
    x = 802,277,649.30

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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.