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Finding the Fourth Proportional to 851,829,657.84, 1,175,525,713.80 and 460,689,081.84

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Solution

The fourth proportional to 851,829,657.84, 1,175,525,713.80 and 460,689,081.84 is: 635,751,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,829,657.84 : 1,175,525,713.80 = 460,689,081.84 : x
  2. Step 2: Convert to fraction form
    851,829,657.84/1,175,525,713.80 = 460,689,081.84/x
  3. Step 3: Cross multiply
    851,829,657.84x = 1,175,525,713.80 × 460,689,081.84
  4. Step 4: Simplify right side
    851,829,657.84x = 541,551,861,769,832,576
  5. Step 5: Solve for x
    x = 541,551,861,769,832,576/851,829,657.84
  6. Step 6: Final answer
    x = 635,751,358.02

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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.