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Finding the Fourth Proportional to 209,969,158.30, 314,953,737.45 and 209,969,158.30

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Solution

The fourth proportional to 209,969,158.30, 314,953,737.45 and 209,969,158.30 is: 314,953,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969,158.30 : 314,953,737.45 = 209,969,158.30 : x
  2. Step 2: Convert to fraction form
    209,969,158.30/314,953,737.45 = 209,969,158.30/x
  3. Step 3: Cross multiply
    209,969,158.30x = 314,953,737.45 × 209,969,158.30
  4. Step 4: Simplify right side
    209,969,158.30x = 66,130,571,155,815,688
  5. Step 5: Solve for x
    x = 66,130,571,155,815,688/209,969,158.30
  6. Step 6: Final answer
    x = 314,953,737.45

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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.