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Finding the Fourth Proportional to 217,978,152,025.40, 326,967,228,038.10 and 217,978,152,025.40

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Solution

The fourth proportional to 217,978,152,025.40, 326,967,228,038.10 and 217,978,152,025.40 is: 326,967,228,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,978,152,025.40 : 326,967,228,038.10 = 217,978,152,025.40 : x
  2. Step 2: Convert to fraction form
    217,978,152,025.40/326,967,228,038.10 = 217,978,152,025.40/x
  3. Step 3: Cross multiply
    217,978,152,025.40x = 326,967,228,038.10 × 217,978,152,025.40
  4. Step 4: Simplify right side
    217,978,152,025.40x = 71,271,712,140,612,585,127,936
  5. Step 5: Solve for x
    x = 71,271,712,140,612,585,127,936/217,978,152,025.40
  6. Step 6: Final answer
    x = 326,967,228,038.10

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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.