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Finding the Fourth Proportional to 898,649,783.60, 1,347,974,675.40 and 753,530,961.20

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Solution

The fourth proportional to 898,649,783.60, 1,347,974,675.40 and 753,530,961.20 is: 1,130,296,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,649,783.60 : 1,347,974,675.40 = 753,530,961.20 : x
  2. Step 2: Convert to fraction form
    898,649,783.60/1,347,974,675.40 = 753,530,961.20/x
  3. Step 3: Cross multiply
    898,649,783.60x = 1,347,974,675.40 × 753,530,961.20
  4. Step 4: Simplify right side
    898,649,783.60x = 1,015,740,652,827,420,160
  5. Step 5: Solve for x
    x = 1,015,740,652,827,420,160/898,649,783.60
  6. Step 6: Final answer
    x = 1,130,296,441.80

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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.