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Finding the Fourth Proportional to 518,452,097,823.60, 777,678,146,735.40 and 518,452,097,823.60

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Solution

The fourth proportional to 518,452,097,823.60, 777,678,146,735.40 and 518,452,097,823.60 is: 777,678,146,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,452,097,823.60 : 777,678,146,735.40 = 518,452,097,823.60 : x
  2. Step 2: Convert to fraction form
    518,452,097,823.60/777,678,146,735.40 = 518,452,097,823.60/x
  3. Step 3: Cross multiply
    518,452,097,823.60x = 777,678,146,735.40 × 518,452,097,823.60
  4. Step 4: Simplify right side
    518,452,097,823.60x = 403,188,866,606,537,516,253,184
  5. Step 5: Solve for x
    x = 403,188,866,606,537,516,253,184/518,452,097,823.60
  6. Step 6: Final answer
    x = 777,678,146,735.40

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Why These Related Problems?

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