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Finding the Fourth Proportional to 1,036,550,866.95, 1,422,826,024.12 and 916,445,200.95

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Solution

The fourth proportional to 1,036,550,866.95, 1,422,826,024.12 and 916,445,200.95 is: 1,257,962,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,550,866.95 : 1,422,826,024.12 = 916,445,200.95 : x
  2. Step 2: Convert to fraction form
    1,036,550,866.95/1,422,826,024.12 = 916,445,200.95/x
  3. Step 3: Cross multiply
    1,036,550,866.95x = 1,422,826,024.12 × 916,445,200.95
  4. Step 4: Simplify right side
    1,036,550,866.95x = 1,303,942,081,589,251,840
  5. Step 5: Solve for x
    x = 1,303,942,081,589,251,840/1,036,550,866.95
  6. Step 6: Final answer
    x = 1,257,962,462.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.