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Finding the Fourth Proportional to 1,189,698,425.55, 1,641,820,783.05 and 653,840,367.30

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Solution

The fourth proportional to 1,189,698,425.55, 1,641,820,783.05 and 653,840,367.30 is: 902,320,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,698,425.55 : 1,641,820,783.05 = 653,840,367.30 : x
  2. Step 2: Convert to fraction form
    1,189,698,425.55/1,641,820,783.05 = 653,840,367.30/x
  3. Step 3: Cross multiply
    1,189,698,425.55x = 1,641,820,783.05 × 653,840,367.30
  4. Step 4: Simplify right side
    1,189,698,425.55x = 1,073,488,703,830,185,472
  5. Step 5: Solve for x
    x = 1,073,488,703,830,185,472/1,189,698,425.55
  6. Step 6: Final answer
    x = 902,320,017.22

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.