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Finding the Fourth Proportional to 271,877,130.40, 407,815,695.60 and 77,794,877.20

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Solution

The fourth proportional to 271,877,130.40, 407,815,695.60 and 77,794,877.20 is: 116,692,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,877,130.40 : 407,815,695.60 = 77,794,877.20 : x
  2. Step 2: Convert to fraction form
    271,877,130.40/407,815,695.60 = 77,794,877.20/x
  3. Step 3: Cross multiply
    271,877,130.40x = 407,815,695.60 × 77,794,877.20
  4. Step 4: Simplify right side
    271,877,130.40x = 31,725,971,959,434,584
  5. Step 5: Solve for x
    x = 31,725,971,959,434,584/271,877,130.40
  6. Step 6: Final answer
    x = 116,692,315.80

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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.