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Finding the Fourth Proportional to 1,001,676,542.04, 1,502,514,859.79 and 686,231,515.77

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Solution

The fourth proportional to 1,001,676,542.04, 1,502,514,859.79 and 686,231,515.77 is: 1,029,347,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,676,542.04 : 1,502,514,859.79 = 686,231,515.77 : x
  2. Step 2: Convert to fraction form
    1,001,676,542.04/1,502,514,859.79 = 686,231,515.77/x
  3. Step 3: Cross multiply
    1,001,676,542.04x = 1,502,514,859.79 × 686,231,515.77
  4. Step 4: Simplify right side
    1,001,676,542.04x = 1,031,073,049,697,209,600
  5. Step 5: Solve for x
    x = 1,031,073,049,697,209,600/1,001,676,542.04
  6. Step 6: Final answer
    x = 1,029,347,305.67

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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.