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Finding the Fourth Proportional to 30,285,576,145.80, 45,428,364,218.70 and 30,285,576,145.80

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Solution

The fourth proportional to 30,285,576,145.80, 45,428,364,218.70 and 30,285,576,145.80 is: 45,428,364,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,285,576,145.80 : 45,428,364,218.70 = 30,285,576,145.80 : x
  2. Step 2: Convert to fraction form
    30,285,576,145.80/45,428,364,218.70 = 30,285,576,145.80/x
  3. Step 3: Cross multiply
    30,285,576,145.80x = 45,428,364,218.70 × 30,285,576,145.80
  4. Step 4: Simplify right side
    30,285,576,145.80x = 1,375,824,183,724,574,769,152
  5. Step 5: Solve for x
    x = 1,375,824,183,724,574,769,152/30,285,576,145.80
  6. Step 6: Final answer
    x = 45,428,364,218.70

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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.