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Finding the Fourth Proportional to 664,271,729.70, 996,407,594.55 and 255,341,220.90

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Solution

The fourth proportional to 664,271,729.70, 996,407,594.55 and 255,341,220.90 is: 383,011,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,271,729.70 : 996,407,594.55 = 255,341,220.90 : x
  2. Step 2: Convert to fraction form
    664,271,729.70/996,407,594.55 = 255,341,220.90/x
  3. Step 3: Cross multiply
    664,271,729.70x = 996,407,594.55 × 255,341,220.90
  4. Step 4: Simplify right side
    664,271,729.70x = 254,423,931,706,429,184
  5. Step 5: Solve for x
    x = 254,423,931,706,429,184/664,271,729.70
  6. Step 6: Final answer
    x = 383,011,831.35

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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.