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Finding the Fourth Proportional to 884,046,540.80, 1,323,518,894.40 and 782,009,868.80

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Solution

The fourth proportional to 884,046,540.80, 1,323,518,894.40 and 782,009,868.80 is: 1,170,758,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    884,046,540.80 : 1,323,518,894.40 = 782,009,868.80 : x
  2. Step 2: Convert to fraction form
    884,046,540.80/1,323,518,894.40 = 782,009,868.80/x
  3. Step 3: Cross multiply
    884,046,540.80x = 1,323,518,894.40 × 782,009,868.80
  4. Step 4: Simplify right side
    884,046,540.80x = 1,035,004,836,964,065,024
  5. Step 5: Solve for x
    x = 1,035,004,836,964,065,024/884,046,540.80
  6. Step 6: Final answer
    x = 1,170,758,313.28

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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.