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Finding the Fourth Proportional to 223,470,612,002.10, 335,205,918,003.15 and 223,470,612,002.10

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Solution

The fourth proportional to 223,470,612,002.10, 335,205,918,003.15 and 223,470,612,002.10 is: 335,205,918,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,470,612,002.10 : 335,205,918,003.15 = 223,470,612,002.10 : x
  2. Step 2: Convert to fraction form
    223,470,612,002.10/335,205,918,003.15 = 223,470,612,002.10/x
  3. Step 3: Cross multiply
    223,470,612,002.10x = 335,205,918,003.15 × 223,470,612,002.10
  4. Step 4: Simplify right side
    223,470,612,002.10x = 74,908,671,642,889,684,516,864
  5. Step 5: Solve for x
    x = 74,908,671,642,889,684,516,864/223,470,612,002.10
  6. Step 6: Final answer
    x = 335,205,918,003.15

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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.