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Finding the Fourth Proportional to 5,174,447,639.55, 7,761,671,459.33 and 5,174,447,639.55

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Solution

The fourth proportional to 5,174,447,639.55, 7,761,671,459.33 and 5,174,447,639.55 is: 7,761,671,459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174,447,639.55 : 7,761,671,459.33 = 5,174,447,639.55 : x
  2. Step 2: Convert to fraction form
    5,174,447,639.55/7,761,671,459.33 = 5,174,447,639.55/x
  3. Step 3: Cross multiply
    5,174,447,639.55x = 7,761,671,459.33 × 5,174,447,639.55
  4. Step 4: Simplify right side
    5,174,447,639.55x = 40,162,362,561,666,850,816
  5. Step 5: Solve for x
    x = 40,162,362,561,666,850,816/5,174,447,639.55
  6. Step 6: Final answer
    x = 7,761,671,459.33

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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.