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Finding the Fourth Proportional to 201,262,377.60, 301,893,566.40 and 152,889,436.80

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Solution

The fourth proportional to 201,262,377.60, 301,893,566.40 and 152,889,436.80 is: 229,334,155.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,262,377.60 : 301,893,566.40 = 152,889,436.80 : x
  2. Step 2: Convert to fraction form
    201,262,377.60/301,893,566.40 = 152,889,436.80/x
  3. Step 3: Cross multiply
    201,262,377.60x = 301,893,566.40 × 152,889,436.80
  4. Step 4: Simplify right side
    201,262,377.60x = 46,156,337,340,439,400
  5. Step 5: Solve for x
    x = 46,156,337,340,439,400/201,262,377.60
  6. Step 6: Final answer
    x = 229,334,155.20

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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.