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Finding the Fourth Proportional to 518,339,841.45, 777,509,762.18 and 518,339,841.45

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Solution

The fourth proportional to 518,339,841.45, 777,509,762.18 and 518,339,841.45 is: 777,509,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,339,841.45 : 777,509,762.18 = 518,339,841.45 : x
  2. Step 2: Convert to fraction form
    518,339,841.45/777,509,762.18 = 518,339,841.45/x
  3. Step 3: Cross multiply
    518,339,841.45x = 777,509,762.18 × 518,339,841.45
  4. Step 4: Simplify right side
    518,339,841.45x = 403,014,286,851,616,704
  5. Step 5: Solve for x
    x = 403,014,286,851,616,704/518,339,841.45
  6. Step 6: Final answer
    x = 777,509,762.18

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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.