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Finding the Fourth Proportional to 898,964,615.92, 1,348,554,976.26 and 316,578,500.68

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Solution

The fourth proportional to 898,964,615.92, 1,348,554,976.26 and 316,578,500.68 is: 474,905,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,964,615.92 : 1,348,554,976.26 = 316,578,500.68 : x
  2. Step 2: Convert to fraction form
    898,964,615.92/1,348,554,976.26 = 316,578,500.68/x
  3. Step 3: Cross multiply
    898,964,615.92x = 1,348,554,976.26 × 316,578,500.68
  4. Step 4: Simplify right side
    898,964,615.92x = 426,923,512,468,943,808
  5. Step 5: Solve for x
    x = 426,923,512,468,943,808/898,964,615.92
  6. Step 6: Final answer
    x = 474,905,802.64

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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.