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Finding the Fourth Proportional to 30,145,392,003.04, 45,218,088,004.56 and 30,145,392,003.04

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Solution

The fourth proportional to 30,145,392,003.04, 45,218,088,004.56 and 30,145,392,003.04 is: 45,218,088,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,145,392,003.04 : 45,218,088,004.56 = 30,145,392,003.04 : x
  2. Step 2: Convert to fraction form
    30,145,392,003.04/45,218,088,004.56 = 30,145,392,003.04/x
  3. Step 3: Cross multiply
    30,145,392,003.04x = 45,218,088,004.56 × 30,145,392,003.04
  4. Step 4: Simplify right side
    30,145,392,003.04x = 1,363,116,988,525,240,909,824
  5. Step 5: Solve for x
    x = 1,363,116,988,525,240,909,824/30,145,392,003.04
  6. Step 6: Final answer
    x = 45,218,088,004.56

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Double scale
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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.