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Finding the Fourth Proportional to 564,259,552.76, 778,607,672.70 and 313,329,827.32

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Solution

The fourth proportional to 564,259,552.76, 778,607,672.70 and 313,329,827.32 is: 432,356,007.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,259,552.76 : 778,607,672.70 = 313,329,827.32 : x
  2. Step 2: Convert to fraction form
    564,259,552.76/778,607,672.70 = 313,329,827.32/x
  3. Step 3: Cross multiply
    564,259,552.76x = 778,607,672.70 × 313,329,827.32
  4. Step 4: Simplify right side
    564,259,552.76x = 243,961,007,637,118,080
  5. Step 5: Solve for x
    x = 243,961,007,637,118,080/564,259,552.76
  6. Step 6: Final answer
    x = 432,356,007.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.