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Finding the Fourth Proportional to 709,492,006.78, 971,987,885.24 and 682,965,240.03

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Solution

The fourth proportional to 709,492,006.78, 971,987,885.24 and 682,965,240.03 is: 935,646,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,492,006.78 : 971,987,885.24 = 682,965,240.03 : x
  2. Step 2: Convert to fraction form
    709,492,006.78/971,987,885.24 = 682,965,240.03/x
  3. Step 3: Cross multiply
    709,492,006.78x = 971,987,885.24 × 682,965,240.03
  4. Step 4: Simplify right side
    709,492,006.78x = 663,833,939,345,773,824
  5. Step 5: Solve for x
    x = 663,833,939,345,773,824/709,492,006.78
  6. Step 6: Final answer
    x = 935,646,819.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.