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Finding the Fourth Proportional to 233,281,972.80, 349,838,978.40 and 118,228,276.80

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Solution

The fourth proportional to 233,281,972.80, 349,838,978.40 and 118,228,276.80 is: 177,299,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,281,972.80 : 349,838,978.40 = 118,228,276.80 : x
  2. Step 2: Convert to fraction form
    233,281,972.80/349,838,978.40 = 118,228,276.80/x
  3. Step 3: Cross multiply
    233,281,972.80x = 349,838,978.40 × 118,228,276.80
  4. Step 4: Simplify right side
    233,281,972.80x = 41,360,859,573,704,416
  5. Step 5: Solve for x
    x = 41,360,859,573,704,416/233,281,972.80
  6. Step 6: Final answer
    x = 177,299,853.38

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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.