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Finding the Fourth Proportional to 845,282,009.60, 1,180,976,166.40 and 845,282,009.60

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Solution

The fourth proportional to 845,282,009.60, 1,180,976,166.40 and 845,282,009.60 is: 1,180,976,166.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,282,009.60 : 1,180,976,166.40 = 845,282,009.60 : x
  2. Step 2: Convert to fraction form
    845,282,009.60/1,180,976,166.40 = 845,282,009.60/x
  3. Step 3: Cross multiply
    845,282,009.60x = 1,180,976,166.40 × 845,282,009.60
  4. Step 4: Simplify right side
    845,282,009.60x = 998,257,907,224,296,064
  5. Step 5: Solve for x
    x = 998,257,907,224,296,064/845,282,009.60
  6. Step 6: Final answer
    x = 1,180,976,166.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.