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Finding the Fourth Proportional to 646,534,004.40, 969,801,006.60 and 596,649,409.20

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Solution

The fourth proportional to 646,534,004.40, 969,801,006.60 and 596,649,409.20 is: 894,974,113.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,534,004.40 : 969,801,006.60 = 596,649,409.20 : x
  2. Step 2: Convert to fraction form
    646,534,004.40/969,801,006.60 = 596,649,409.20/x
  3. Step 3: Cross multiply
    646,534,004.40x = 969,801,006.60 × 596,649,409.20
  4. Step 4: Simplify right side
    646,534,004.40x = 578,631,197,629,455,360
  5. Step 5: Solve for x
    x = 578,631,197,629,455,360/646,534,004.40
  6. Step 6: Final answer
    x = 894,974,113.80

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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.