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Finding the Fourth Proportional to 851,828,640.84, 1,175,524,308.18 and 460,688,064.84

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Solution

The fourth proportional to 851,828,640.84, 1,175,524,308.18 and 460,688,064.84 is: 635,749,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,828,640.84 : 1,175,524,308.18 = 460,688,064.84 : x
  2. Step 2: Convert to fraction form
    851,828,640.84/1,175,524,308.18 = 460,688,064.84/x
  3. Step 3: Cross multiply
    851,828,640.84x = 1,175,524,308.18 × 460,688,064.84
  4. Step 4: Simplify right side
    851,828,640.84x = 541,550,018,707,824,000
  5. Step 5: Solve for x
    x = 541,550,018,707,824,000/851,828,640.84
  6. Step 6: Final answer
    x = 635,749,953.39

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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.