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Finding the Fourth Proportional to 492,076,211.60, 738,220,605.60 and 147,064,714.40

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Solution

The fourth proportional to 492,076,211.60, 738,220,605.60 and 147,064,714.40 is: 220,628,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,076,211.60 : 738,220,605.60 = 147,064,714.40 : x
  2. Step 2: Convert to fraction form
    492,076,211.60/738,220,605.60 = 147,064,714.40/x
  3. Step 3: Cross multiply
    492,076,211.60x = 738,220,605.60 × 147,064,714.40
  4. Step 4: Simplify right side
    492,076,211.60x = 108,566,202,526,759,056
  5. Step 5: Solve for x
    x = 108,566,202,526,759,056/492,076,211.60
  6. Step 6: Final answer
    x = 220,628,837.50

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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.