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Finding the Fourth Proportional to 65,264,019.10, 97,896,028.65 and 35,030,931.10

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Solution

The fourth proportional to 65,264,019.10, 97,896,028.65 and 35,030,931.10 is: 52,546,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,264,019.10 : 97,896,028.65 = 35,030,931.10 : x
  2. Step 2: Convert to fraction form
    65,264,019.10/97,896,028.65 = 35,030,931.10/x
  3. Step 3: Cross multiply
    65,264,019.10x = 97,896,028.65 × 35,030,931.10
  4. Step 4: Simplify right side
    65,264,019.10x = 3,429,389,034,601,776.50
  5. Step 5: Solve for x
    x = 3,429,389,034,601,776.50/65,264,019.10
  6. Step 6: Final answer
    x = 52,546,396.65

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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.