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Finding the Fourth Proportional to 240,594,446,822.51, 360,891,670,233.78 and 240,594,446,822.51

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Solution

The fourth proportional to 240,594,446,822.51, 360,891,670,233.78 and 240,594,446,822.51 is: 360,891,670,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,594,446,822.51 : 360,891,670,233.78 = 240,594,446,822.51 : x
  2. Step 2: Convert to fraction form
    240,594,446,822.51/360,891,670,233.78 = 240,594,446,822.51/x
  3. Step 3: Cross multiply
    240,594,446,822.51x = 360,891,670,233.78 × 240,594,446,822.51
  4. Step 4: Simplify right side
    240,594,446,822.51x = 86,828,531,762,748,008,169,472
  5. Step 5: Solve for x
    x = 86,828,531,762,748,008,169,472/240,594,446,822.51
  6. Step 6: Final answer
    x = 360,891,670,233.78

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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.