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Finding the Fourth Proportional to 982,823,612.15, 1,355,398,323.12 and 768,270,602.15

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Solution

The fourth proportional to 982,823,612.15, 1,355,398,323.12 and 768,270,602.15 is: 1,059,511,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,823,612.15 : 1,355,398,323.12 = 768,270,602.15 : x
  2. Step 2: Convert to fraction form
    982,823,612.15/1,355,398,323.12 = 768,270,602.15/x
  3. Step 3: Cross multiply
    982,823,612.15x = 1,355,398,323.12 × 768,270,602.15
  4. Step 4: Simplify right side
    982,823,612.15x = 1,041,312,685,856,502,528
  5. Step 5: Solve for x
    x = 1,041,312,685,856,502,528/982,823,612.15
  6. Step 6: Final answer
    x = 1,059,511,262.23

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1.5x scale

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.