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Finding the Fourth Proportional to 739,798,394.90, 1,020,913,648.76 and 400,698,434.09

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Solution

The fourth proportional to 739,798,394.90, 1,020,913,648.76 and 400,698,434.09 is: 552,959,432.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,798,394.90 : 1,020,913,648.76 = 400,698,434.09 : x
  2. Step 2: Convert to fraction form
    739,798,394.90/1,020,913,648.76 = 400,698,434.09/x
  3. Step 3: Cross multiply
    739,798,394.90x = 1,020,913,648.76 × 400,698,434.09
  4. Step 4: Simplify right side
    739,798,394.90x = 409,078,500,402,794,304
  5. Step 5: Solve for x
    x = 409,078,500,402,794,304/739,798,394.90
  6. Step 6: Final answer
    x = 552,959,432.23

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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.