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Finding the Fourth Proportional to 564,259,548.75, 778,607,667.18 and 313,329,823.31

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Solution

The fourth proportional to 564,259,548.75, 778,607,667.18 and 313,329,823.31 is: 432,356,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,259,548.75 : 778,607,667.18 = 313,329,823.31 : x
  2. Step 2: Convert to fraction form
    564,259,548.75/778,607,667.18 = 313,329,823.31/x
  3. Step 3: Cross multiply
    564,259,548.75x = 778,607,667.18 × 313,329,823.31
  4. Step 4: Simplify right side
    564,259,548.75x = 243,961,002,785,320,672
  5. Step 5: Solve for x
    x = 243,961,002,785,320,672/564,259,548.75
  6. Step 6: Final answer
    x = 432,356,002.35

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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.