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Finding the Fourth Proportional to 96,872,292,023.20, 145,308,438,034.80 and 96,872,292,023.20

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Solution

The fourth proportional to 96,872,292,023.20, 145,308,438,034.80 and 96,872,292,023.20 is: 145,308,438,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,872,292,023.20 : 145,308,438,034.80 = 96,872,292,023.20 : x
  2. Step 2: Convert to fraction form
    96,872,292,023.20/145,308,438,034.80 = 96,872,292,023.20/x
  3. Step 3: Cross multiply
    96,872,292,023.20x = 145,308,438,034.80 × 96,872,292,023.20
  4. Step 4: Simplify right side
    96,872,292,023.20x = 14,076,361,442,742,205,677,568
  5. Step 5: Solve for x
    x = 14,076,361,442,742,205,677,568/96,872,292,023.20
  6. Step 6: Final answer
    x = 145,308,438,034.80

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1.5x scale

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.