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Finding the Fourth Proportional to 178,123,402.30, 249,731,081.30 and 178,123,402.30

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Solution

The fourth proportional to 178,123,402.30, 249,731,081.30 and 178,123,402.30 is: 249,731,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123,402.30 : 249,731,081.30 = 178,123,402.30 : x
  2. Step 2: Convert to fraction form
    178,123,402.30/249,731,081.30 = 178,123,402.30/x
  3. Step 3: Cross multiply
    178,123,402.30x = 249,731,081.30 × 178,123,402.30
  4. Step 4: Simplify right side
    178,123,402.30x = 44,482,949,861,213,912
  5. Step 5: Solve for x
    x = 44,482,949,861,213,912/178,123,402.30
  6. Step 6: Final answer
    x = 249,731,081.30

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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.