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Finding the Fourth Proportional to 1,275,264,000.45, 1,912,896,000.68 and 1,275,264,000.45

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Solution

The fourth proportional to 1,275,264,000.45, 1,912,896,000.68 and 1,275,264,000.45 is: 1,912,896,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,264,000.45 : 1,912,896,000.68 = 1,275,264,000.45 : x
  2. Step 2: Convert to fraction form
    1,275,264,000.45/1,912,896,000.68 = 1,275,264,000.45/x
  3. Step 3: Cross multiply
    1,275,264,000.45x = 1,912,896,000.68 × 1,275,264,000.45
  4. Step 4: Simplify right side
    1,275,264,000.45x = 2,439,447,406,265,606,656
  5. Step 5: Solve for x
    x = 2,439,447,406,265,606,656/1,275,264,000.45
  6. Step 6: Final answer
    x = 1,912,896,000.68

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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.