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Finding the Fourth Proportional to 278,360,256,037.65, 417,540,384,056.48 and 278,360,256,037.65

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Solution

The fourth proportional to 278,360,256,037.65, 417,540,384,056.48 and 278,360,256,037.65 is: 417,540,384,056.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,360,256,037.65 : 417,540,384,056.48 = 278,360,256,037.65 : x
  2. Step 2: Convert to fraction form
    278,360,256,037.65/417,540,384,056.48 = 278,360,256,037.65/x
  3. Step 3: Cross multiply
    278,360,256,037.65x = 417,540,384,056.48 × 278,360,256,037.65
  4. Step 4: Simplify right side
    278,360,256,037.65x = 116,226,648,212,020,486,209,536
  5. Step 5: Solve for x
    x = 116,226,648,212,020,486,209,536/278,360,256,037.65
  6. Step 6: Final answer
    x = 417,540,384,056.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.