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Finding the Fourth Proportional to 632,495,228.90, 948,655,363.35 and 196,096,000.10

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Solution

The fourth proportional to 632,495,228.90, 948,655,363.35 and 196,096,000.10 is: 294,116,878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,495,228.90 : 948,655,363.35 = 196,096,000.10 : x
  2. Step 2: Convert to fraction form
    632,495,228.90/948,655,363.35 = 196,096,000.10/x
  3. Step 3: Cross multiply
    632,495,228.90x = 948,655,363.35 × 196,096,000.10
  4. Step 4: Simplify right side
    632,495,228.90x = 186,027,522,226,347,136
  5. Step 5: Solve for x
    x = 186,027,522,226,347,136/632,495,228.90
  6. Step 6: Final answer
    x = 294,116,878.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.