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Finding the Fourth Proportional to 139,968,142.95, 209,952,214.43 and 139,968,142.95

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Solution

The fourth proportional to 139,968,142.95, 209,952,214.43 and 139,968,142.95 is: 209,952,214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,142.95 : 209,952,214.43 = 139,968,142.95 : x
  2. Step 2: Convert to fraction form
    139,968,142.95/209,952,214.43 = 139,968,142.95/x
  3. Step 3: Cross multiply
    139,968,142.95x = 209,952,214.43 × 139,968,142.95
  4. Step 4: Simplify right side
    139,968,142.95x = 29,386,621,562,007,292
  5. Step 5: Solve for x
    x = 29,386,621,562,007,292/139,968,142.95
  6. Step 6: Final answer
    x = 209,952,214.43

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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.