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Finding the Fourth Proportional to 870,846,700.50, 1,201,729,679.78 and 508,774,223.39

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Solution

The fourth proportional to 870,846,700.50, 1,201,729,679.78 and 508,774,223.39 is: 702,085,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,846,700.50 : 1,201,729,679.78 = 508,774,223.39 : x
  2. Step 2: Convert to fraction form
    870,846,700.50/1,201,729,679.78 = 508,774,223.39/x
  3. Step 3: Cross multiply
    870,846,700.50x = 1,201,729,679.78 × 508,774,223.39
  4. Step 4: Simplify right side
    870,846,700.50x = 611,409,084,546,230,400
  5. Step 5: Solve for x
    x = 611,409,084,546,230,400/870,846,700.50
  6. Step 6: Final answer
    x = 702,085,779.50

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