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Finding the Fourth Proportional to 66,978,117.60, 100,467,176.40 and 66,082,322.40

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Solution

The fourth proportional to 66,978,117.60, 100,467,176.40 and 66,082,322.40 is: 99,123,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978,117.60 : 100,467,176.40 = 66,082,322.40 : x
  2. Step 2: Convert to fraction form
    66,978,117.60/100,467,176.40 = 66,082,322.40/x
  3. Step 3: Cross multiply
    66,978,117.60x = 100,467,176.40 × 66,082,322.40
  4. Step 4: Simplify right side
    66,978,117.60x = 6,639,104,341,482,472
  5. Step 5: Solve for x
    x = 6,639,104,341,482,472/66,978,117.60
  6. Step 6: Final answer
    x = 99,123,483.60

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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.