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Finding the Fourth Proportional to 1,470,875,658.56, 2,206,963,320.84 and 771,200,514.60

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Solution

The fourth proportional to 1,470,875,658.56, 2,206,963,320.84 and 771,200,514.60 is: 1,157,141,488.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470,875,658.56 : 2,206,963,320.84 = 771,200,514.60 : x
  2. Step 2: Convert to fraction form
    1,470,875,658.56/2,206,963,320.84 = 771,200,514.60/x
  3. Step 3: Cross multiply
    1,470,875,658.56x = 2,206,963,320.84 × 771,200,514.60
  4. Step 4: Simplify right side
    1,470,875,658.56x = 1,702,011,248,735,133,184
  5. Step 5: Solve for x
    x = 1,702,011,248,735,133,184/1,470,875,658.56
  6. Step 6: Final answer
    x = 1,157,141,488.36

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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.