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Finding the Fourth Proportional to 178,123,384.80, 249,731,056.80 and 178,123,384.80

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Solution

The fourth proportional to 178,123,384.80, 249,731,056.80 and 178,123,384.80 is: 249,731,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,123,384.80 : 249,731,056.80 = 178,123,384.80 : x
  2. Step 2: Convert to fraction form
    178,123,384.80/249,731,056.80 = 178,123,384.80/x
  3. Step 3: Cross multiply
    178,123,384.80x = 249,731,056.80 × 178,123,384.80
  4. Step 4: Simplify right side
    178,123,384.80x = 44,482,941,126,897,064
  5. Step 5: Solve for x
    x = 44,482,941,126,897,064/178,123,384.80
  6. Step 6: Final answer
    x = 249,731,056.80

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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.