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Finding the Fourth Proportional to 175,375,123.40, 245,928,280.60 and 175,375,123.40

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Solution

The fourth proportional to 175,375,123.40, 245,928,280.60 and 175,375,123.40 is: 245,928,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,375,123.40 : 245,928,280.60 = 175,375,123.40 : x
  2. Step 2: Convert to fraction form
    175,375,123.40/245,928,280.60 = 175,375,123.40/x
  3. Step 3: Cross multiply
    175,375,123.40x = 245,928,280.60 × 175,375,123.40
  4. Step 4: Simplify right side
    175,375,123.40x = 43,129,702,557,774,824
  5. Step 5: Solve for x
    x = 43,129,702,557,774,824/175,375,123.40
  6. Step 6: Final answer
    x = 245,928,280.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.