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Finding the Fourth Proportional to 907,985,402.30, 1,361,978,103.45 and 598,049,011.10

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Solution

The fourth proportional to 907,985,402.30, 1,361,978,103.45 and 598,049,011.10 is: 897,073,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,985,402.30 : 1,361,978,103.45 = 598,049,011.10 : x
  2. Step 2: Convert to fraction form
    907,985,402.30/1,361,978,103.45 = 598,049,011.10/x
  3. Step 3: Cross multiply
    907,985,402.30x = 1,361,978,103.45 × 598,049,011.10
  4. Step 4: Simplify right side
    907,985,402.30x = 814,529,657,908,126,080
  5. Step 5: Solve for x
    x = 814,529,657,908,126,080/907,985,402.30
  6. Step 6: Final answer
    x = 897,073,516.65

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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.