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Finding the Fourth Proportional to 488,445,900.30, 685,638,245.70 and 488,445,900.30

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Solution

The fourth proportional to 488,445,900.30, 685,638,245.70 and 488,445,900.30 is: 685,638,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,445,900.30 : 685,638,245.70 = 488,445,900.30 : x
  2. Step 2: Convert to fraction form
    488,445,900.30/685,638,245.70 = 488,445,900.30/x
  3. Step 3: Cross multiply
    488,445,900.30x = 685,638,245.70 × 488,445,900.30
  4. Step 4: Simplify right side
    488,445,900.30x = 334,897,190,201,049,152
  5. Step 5: Solve for x
    x = 334,897,190,201,049,152/488,445,900.30
  6. Step 6: Final answer
    x = 685,638,245.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.