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Finding the Fourth Proportional to 1,189,735,235.30, 1,784,602,852.95 and 960,152,723.30

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Solution

The fourth proportional to 1,189,735,235.30, 1,784,602,852.95 and 960,152,723.30 is: 1,440,229,084.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,735,235.30 : 1,784,602,852.95 = 960,152,723.30 : x
  2. Step 2: Convert to fraction form
    1,189,735,235.30/1,784,602,852.95 = 960,152,723.30/x
  3. Step 3: Cross multiply
    1,189,735,235.30x = 1,784,602,852.95 × 960,152,723.30
  4. Step 4: Simplify right side
    1,189,735,235.30x = 1,713,491,289,268,891,904
  5. Step 5: Solve for x
    x = 1,713,491,289,268,891,904/1,189,735,235.30
  6. Step 6: Final answer
    x = 1,440,229,084.95

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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.