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Finding the Fourth Proportional to 565,661,227,709.29, 781,633,597,883.01 and 402,798,125,223.97

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Solution

The fourth proportional to 565,661,227,709.29, 781,633,597,883.01 and 402,798,125,223.97 is: 556,588,524,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,661,227,709.29 : 781,633,597,883.01 = 402,798,125,223.97 : x
  2. Step 2: Convert to fraction form
    565,661,227,709.29/781,633,597,883.01 = 402,798,125,223.97/x
  3. Step 3: Cross multiply
    565,661,227,709.29x = 781,633,597,883.01 × 402,798,125,223.97
  4. Step 4: Simplify right side
    565,661,227,709.29x = 314,840,547,839,342,834,352,128
  5. Step 5: Solve for x
    x = 314,840,547,839,342,834,352,128/565,661,227,709.29
  6. Step 6: Final answer
    x = 556,588,524,043.49

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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.