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Finding the Fourth Proportional to 557,350,798.32, 836,352,200.64 and 207,838,328.00

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Solution

The fourth proportional to 557,350,798.32, 836,352,200.64 and 207,838,328.00 is: 311,879,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,350,798.32 : 836,352,200.64 = 207,838,328.00 : x
  2. Step 2: Convert to fraction form
    557,350,798.32/836,352,200.64 = 207,838,328.00/x
  3. Step 3: Cross multiply
    557,350,798.32x = 836,352,200.64 × 207,838,328.00
  4. Step 4: Simplify right side
    557,350,798.32x = 173,826,042,995,956,384
  5. Step 5: Solve for x
    x = 173,826,042,995,956,384/557,350,798.32
  6. Step 6: Final answer
    x = 311,879,059.87

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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.