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Finding the Fourth Proportional to 30,648,400,901.40, 45,972,601,352.10 and 30,648,400,901.40

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Solution

The fourth proportional to 30,648,400,901.40, 45,972,601,352.10 and 30,648,400,901.40 is: 45,972,601,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648,400,901.40 : 45,972,601,352.10 = 30,648,400,901.40 : x
  2. Step 2: Convert to fraction form
    30,648,400,901.40/45,972,601,352.10 = 30,648,400,901.40/x
  3. Step 3: Cross multiply
    30,648,400,901.40x = 45,972,601,352.10 × 30,648,400,901.40
  4. Step 4: Simplify right side
    30,648,400,901.40x = 1,408,986,716,719,404,548,096
  5. Step 5: Solve for x
    x = 1,408,986,716,719,404,548,096/30,648,400,901.40
  6. Step 6: Final answer
    x = 45,972,601,352.10

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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.