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Finding the Fourth Proportional to 4,693,700,666,737.80, 7,040,551,000,106.10 and 4,693,700,666,737.80

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Solution

The fourth proportional to 4,693,700,666,737.80, 7,040,551,000,106.10 and 4,693,700,666,737.80 is: 7,040,551,000,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693,700,666,737.80 : 7,040,551,000,106.10 = 4,693,700,666,737.80 : x
  2. Step 2: Convert to fraction form
    4,693,700,666,737.80/7,040,551,000,106.10 = 4,693,700,666,737.80/x
  3. Step 3: Cross multiply
    4,693,700,666,737.80x = 7,040,551,000,106.10 × 4,693,700,666,737.80
  4. Step 4: Simplify right side
    4,693,700,666,737.80x = 33,046,238,923,399,481,478,086,656
  5. Step 5: Solve for x
    x = 33,046,238,923,399,481,478,086,656/4,693,700,666,737.80
  6. Step 6: Final answer
    x = 7,040,551,000,106.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.