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Finding the Fourth Proportional to 669,365,345.80, 1,004,048,018.70 and 669,365,345.80

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Solution

The fourth proportional to 669,365,345.80, 1,004,048,018.70 and 669,365,345.80 is: 1,004,048,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,365,345.80 : 1,004,048,018.70 = 669,365,345.80 : x
  2. Step 2: Convert to fraction form
    669,365,345.80/1,004,048,018.70 = 669,365,345.80/x
  3. Step 3: Cross multiply
    669,365,345.80x = 1,004,048,018.70 × 669,365,345.80
  4. Step 4: Simplify right side
    669,365,345.80x = 672,074,949,236,930,304
  5. Step 5: Solve for x
    x = 672,074,949,236,930,304/669,365,345.80
  6. Step 6: Final answer
    x = 1,004,048,018.70

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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.