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Finding the Fourth Proportional to 598,460,768.80, 898,258,023.60 and 368,878,256.80

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Solution

The fourth proportional to 598,460,768.80, 898,258,023.60 and 368,878,256.80 is: 553,666,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,460,768.80 : 898,258,023.60 = 368,878,256.80 : x
  2. Step 2: Convert to fraction form
    598,460,768.80/898,258,023.60 = 368,878,256.80/x
  3. Step 3: Cross multiply
    598,460,768.80x = 898,258,023.60 × 368,878,256.80
  4. Step 4: Simplify right side
    598,460,768.80x = 331,347,853,902,181,248
  5. Step 5: Solve for x
    x = 331,347,853,902,181,248/598,460,768.80
  6. Step 6: Final answer
    x = 553,666,791.84

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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.