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Finding the Fourth Proportional to 65,203,710.90, 97,805,566.35 and 31,191,486.90

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Solution

The fourth proportional to 65,203,710.90, 97,805,566.35 and 31,191,486.90 is: 46,787,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203,710.90 : 97,805,566.35 = 31,191,486.90 : x
  2. Step 2: Convert to fraction form
    65,203,710.90/97,805,566.35 = 31,191,486.90/x
  3. Step 3: Cross multiply
    65,203,710.90x = 97,805,566.35 × 31,191,486.90
  4. Step 4: Simplify right side
    65,203,710.90x = 3,050,701,041,553,105.50
  5. Step 5: Solve for x
    x = 3,050,701,041,553,105.50/65,203,710.90
  6. Step 6: Final answer
    x = 46,787,230.35

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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.