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Finding the Fourth Proportional to 306,707,958,231.60, 460,061,937,347.40 and 306,707,958,231.60

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Solution

The fourth proportional to 306,707,958,231.60, 460,061,937,347.40 and 306,707,958,231.60 is: 460,061,937,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,707,958,231.60 : 460,061,937,347.40 = 306,707,958,231.60 : x
  2. Step 2: Convert to fraction form
    306,707,958,231.60/460,061,937,347.40 = 306,707,958,231.60/x
  3. Step 3: Cross multiply
    306,707,958,231.60x = 460,061,937,347.40 × 306,707,958,231.60
  4. Step 4: Simplify right side
    306,707,958,231.60x = 141,104,657,463,895,337,730,048
  5. Step 5: Solve for x
    x = 141,104,657,463,895,337,730,048/306,707,958,231.60
  6. Step 6: Final answer
    x = 460,061,937,347.40

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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.