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Finding the Fourth Proportional to 65,329,642.80, 97,994,464.20 and 45,846,097.20

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Solution

The fourth proportional to 65,329,642.80, 97,994,464.20 and 45,846,097.20 is: 68,769,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,329,642.80 : 97,994,464.20 = 45,846,097.20 : x
  2. Step 2: Convert to fraction form
    65,329,642.80/97,994,464.20 = 45,846,097.20/x
  3. Step 3: Cross multiply
    65,329,642.80x = 97,994,464.20 × 45,846,097.20
  4. Step 4: Simplify right side
    65,329,642.80x = 4,492,663,730,775,120.50
  5. Step 5: Solve for x
    x = 4,492,663,730,775,120.50/65,329,642.80
  6. Step 6: Final answer
    x = 68,769,145.80

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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.