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Finding the Fourth Proportional to 296,985,296.07, 408,386,028.69 and 257,758,761.06

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Solution

The fourth proportional to 296,985,296.07, 408,386,028.69 and 257,758,761.06 is: 354,445,415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,985,296.07 : 408,386,028.69 = 257,758,761.06 : x
  2. Step 2: Convert to fraction form
    296,985,296.07/408,386,028.69 = 257,758,761.06/x
  3. Step 3: Cross multiply
    296,985,296.07x = 408,386,028.69 × 257,758,761.06
  4. Step 4: Simplify right side
    296,985,296.07x = 105,265,076,789,348,016
  5. Step 5: Solve for x
    x = 105,265,076,789,348,016/296,985,296.07
  6. Step 6: Final answer
    x = 354,445,415.93

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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.