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Finding the Fourth Proportional to 65,203,041.80, 97,804,562.70 and 19,758,931.40

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Solution

The fourth proportional to 65,203,041.80, 97,804,562.70 and 19,758,931.40 is: 29,638,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203,041.80 : 97,804,562.70 = 19,758,931.40 : x
  2. Step 2: Convert to fraction form
    65,203,041.80/97,804,562.70 = 19,758,931.40/x
  3. Step 3: Cross multiply
    65,203,041.80x = 97,804,562.70 × 19,758,931.40
  4. Step 4: Simplify right side
    65,203,041.80x = 1,932,513,644,996,298.75
  5. Step 5: Solve for x
    x = 1,932,513,644,996,298.75/65,203,041.80
  6. Step 6: Final answer
    x = 29,638,397.10

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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.