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Finding the Fourth Proportional to 791,457,012,000.30, 1,187,185,518,000.50 and 791,457,012,000.30

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Solution

The fourth proportional to 791,457,012,000.30, 1,187,185,518,000.50 and 791,457,012,000.30 is: 1,187,185,518,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,457,012,000.30 : 1,187,185,518,000.50 = 791,457,012,000.30 : x
  2. Step 2: Convert to fraction form
    791,457,012,000.30/1,187,185,518,000.50 = 791,457,012,000.30/x
  3. Step 3: Cross multiply
    791,457,012,000.30x = 1,187,185,518,000.50 × 791,457,012,000.30
  4. Step 4: Simplify right side
    791,457,012,000.30x = 939,606,302,766,704,179,019,776
  5. Step 5: Solve for x
    x = 939,606,302,766,704,179,019,776/791,457,012,000.30
  6. Step 6: Final answer
    x = 1,187,185,518,000.50

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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.