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Finding the Fourth Proportional to 845,472,004.20, 1,268,208,006.30 and 845,472,004.20

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Solution

The fourth proportional to 845,472,004.20, 1,268,208,006.30 and 845,472,004.20 is: 1,268,208,006.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,472,004.20 : 1,268,208,006.30 = 845,472,004.20 : x
  2. Step 2: Convert to fraction form
    845,472,004.20/1,268,208,006.30 = 845,472,004.20/x
  3. Step 3: Cross multiply
    845,472,004.20x = 1,268,208,006.30 × 845,472,004.20
  4. Step 4: Simplify right side
    845,472,004.20x = 1,072,234,364,828,947,200
  5. Step 5: Solve for x
    x = 1,072,234,364,828,947,200/845,472,004.20
  6. Step 6: Final answer
    x = 1,268,208,006.30

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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.