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Finding the Fourth Proportional to 520,016,652,047.30, 780,024,978,070.95 and 520,016,652,047.30

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Solution

The fourth proportional to 520,016,652,047.30, 780,024,978,070.95 and 520,016,652,047.30 is: 780,024,978,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,016,652,047.30 : 780,024,978,070.95 = 520,016,652,047.30 : x
  2. Step 2: Convert to fraction form
    520,016,652,047.30/780,024,978,070.95 = 520,016,652,047.30/x
  3. Step 3: Cross multiply
    520,016,652,047.30x = 780,024,978,070.95 × 520,016,652,047.30
  4. Step 4: Simplify right side
    520,016,652,047.30x = 405,625,977,609,723,962,195,968
  5. Step 5: Solve for x
    x = 405,625,977,609,723,962,195,968/520,016,652,047.30
  6. Step 6: Final answer
    x = 780,024,978,070.95

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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.