Home / 590,689,100,769.52-814,701,213,154.56-508,429,863,828.04

Finding the Fourth Proportional to 590,689,100,769.52, 814,701,213,154.56 and 508,429,863,828.04

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Solution

The fourth proportional to 590,689,100,769.52, 814,701,213,154.56 and 508,429,863,828.04 is: 701,246,097,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,689,100,769.52 : 814,701,213,154.56 = 508,429,863,828.04 : x
  2. Step 2: Convert to fraction form
    590,689,100,769.52/814,701,213,154.56 = 508,429,863,828.04/x
  3. Step 3: Cross multiply
    590,689,100,769.52x = 814,701,213,154.56 × 508,429,863,828.04
  4. Step 4: Simplify right side
    590,689,100,769.52x = 414,218,426,864,711,935,983,616
  5. Step 5: Solve for x
    x = 414,218,426,864,711,935,983,616/590,689,100,769.52
  6. Step 6: Final answer
    x = 701,246,097,693.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.