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Finding the Fourth Proportional to 295,472,457.70, 443,208,686.55 and 271,663,900.90

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Solution

The fourth proportional to 295,472,457.70, 443,208,686.55 and 271,663,900.90 is: 407,495,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,472,457.70 : 443,208,686.55 = 271,663,900.90 : x
  2. Step 2: Convert to fraction form
    295,472,457.70/443,208,686.55 = 271,663,900.90/x
  3. Step 3: Cross multiply
    295,472,457.70x = 443,208,686.55 × 271,663,900.90
  4. Step 4: Simplify right side
    295,472,457.70x = 120,403,800,700,938,352
  5. Step 5: Solve for x
    x = 120,403,800,700,938,352/295,472,457.70
  6. Step 6: Final answer
    x = 407,495,851.35

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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.