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Finding the Fourth Proportional to 178,123,396.80, 249,731,073.60 and 178,123,396.80

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Solution

The fourth proportional to 178,123,396.80, 249,731,073.60 and 178,123,396.80 is: 249,731,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123,396.80 : 249,731,073.60 = 178,123,396.80 : x
  2. Step 2: Convert to fraction form
    178,123,396.80/249,731,073.60 = 178,123,396.80/x
  3. Step 3: Cross multiply
    178,123,396.80x = 249,731,073.60 × 178,123,396.80
  4. Step 4: Simplify right side
    178,123,396.80x = 44,482,947,116,142,808
  5. Step 5: Solve for x
    x = 44,482,947,116,142,808/178,123,396.80
  6. Step 6: Final answer
    x = 249,731,073.60

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1.5x scale

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.