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Finding the Fourth Proportional to 576,358,676.96, 795,381,390.72 and 312,046,429.76

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Solution

The fourth proportional to 576,358,676.96, 795,381,390.72 and 312,046,429.76 is: 430,627,547.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,358,676.96 : 795,381,390.72 = 312,046,429.76 : x
  2. Step 2: Convert to fraction form
    576,358,676.96/795,381,390.72 = 312,046,429.76/x
  3. Step 3: Cross multiply
    576,358,676.96x = 795,381,390.72 × 312,046,429.76
  4. Step 4: Simplify right side
    576,358,676.96x = 248,195,923,271,719,584
  5. Step 5: Solve for x
    x = 248,195,923,271,719,584/576,358,676.96
  6. Step 6: Final answer
    x = 430,627,547.04

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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.