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Finding the Fourth Proportional to 255,254,519.07, 382,978,274.51 and 99,919,342.13

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Solution

The fourth proportional to 255,254,519.07, 382,978,274.51 and 99,919,342.13 is: 149,916,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,254,519.07 : 382,978,274.51 = 99,919,342.13 : x
  2. Step 2: Convert to fraction form
    255,254,519.07/382,978,274.51 = 99,919,342.13/x
  3. Step 3: Cross multiply
    255,254,519.07x = 382,978,274.51 × 99,919,342.13
  4. Step 4: Simplify right side
    255,254,519.07x = 38,266,937,239,579,592
  5. Step 5: Solve for x
    x = 38,266,937,239,579,592/255,254,519.07
  6. Step 6: Final answer
    x = 149,916,786.50

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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.