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Finding the Fourth Proportional to 178,123,338.80, 249,730,992.40 and 178,123,338.80

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Solution

The fourth proportional to 178,123,338.80, 249,730,992.40 and 178,123,338.80 is: 249,730,992.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123,338.80 : 249,730,992.40 = 178,123,338.80 : x
  2. Step 2: Convert to fraction form
    178,123,338.80/249,730,992.40 = 178,123,338.80/x
  3. Step 3: Cross multiply
    178,123,338.80x = 249,730,992.40 × 178,123,338.80
  4. Step 4: Simplify right side
    178,123,338.80x = 44,482,918,168,125,432
  5. Step 5: Solve for x
    x = 44,482,918,168,125,432/178,123,338.80
  6. Step 6: Final answer
    x = 249,730,992.40

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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.