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Finding the Fourth Proportional to 468,154,666.80, 702,019,423.80 and 176,924,998.80

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Solution

The fourth proportional to 468,154,666.80, 702,019,423.80 and 176,924,998.80 is: 265,307,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,154,666.80 : 702,019,423.80 = 176,924,998.80 : x
  2. Step 2: Convert to fraction form
    468,154,666.80/702,019,423.80 = 176,924,998.80/x
  3. Step 3: Cross multiply
    468,154,666.80x = 702,019,423.80 × 176,924,998.80
  4. Step 4: Simplify right side
    468,154,666.80x = 124,204,785,713,391,696
  5. Step 5: Solve for x
    x = 124,204,785,713,391,696/468,154,666.80
  6. Step 6: Final answer
    x = 265,307,161.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.