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Finding the Fourth Proportional to 400,788,045.90, 601,182,068.85 and 196,714,701.90

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Solution

The fourth proportional to 400,788,045.90, 601,182,068.85 and 196,714,701.90 is: 295,072,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,788,045.90 : 601,182,068.85 = 196,714,701.90 : x
  2. Step 2: Convert to fraction form
    400,788,045.90/601,182,068.85 = 196,714,701.90/x
  3. Step 3: Cross multiply
    400,788,045.90x = 601,182,068.85 × 196,714,701.90
  4. Step 4: Simplify right side
    400,788,045.90x = 118,261,351,461,453,040
  5. Step 5: Solve for x
    x = 118,261,351,461,453,040/400,788,045.90
  6. Step 6: Final answer
    x = 295,072,052.85

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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.