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Finding the Fourth Proportional to 735,561,656,208.70, 1,103,342,484,313.10 and 735,561,656,208.70

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Solution

The fourth proportional to 735,561,656,208.70, 1,103,342,484,313.10 and 735,561,656,208.70 is: 1,103,342,484,313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,561,656,208.70 : 1,103,342,484,313.10 = 735,561,656,208.70 : x
  2. Step 2: Convert to fraction form
    735,561,656,208.70/1,103,342,484,313.10 = 735,561,656,208.70/x
  3. Step 3: Cross multiply
    735,561,656,208.70x = 1,103,342,484,313.10 × 735,561,656,208.70
  4. Step 4: Simplify right side
    735,561,656,208.70x = 811,576,425,126,765,499,777,024
  5. Step 5: Solve for x
    x = 811,576,425,126,765,499,777,024/735,561,656,208.70
  6. Step 6: Final answer
    x = 1,103,342,484,313.10

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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.