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Finding the Fourth Proportional to 465,065,047,145.70, 697,597,570,718.55 and 465,065,047,145.70

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Solution

The fourth proportional to 465,065,047,145.70, 697,597,570,718.55 and 465,065,047,145.70 is: 697,597,570,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,065,047,145.70 : 697,597,570,718.55 = 465,065,047,145.70 : x
  2. Step 2: Convert to fraction form
    465,065,047,145.70/697,597,570,718.55 = 465,065,047,145.70/x
  3. Step 3: Cross multiply
    465,065,047,145.70x = 697,597,570,718.55 × 465,065,047,145.70
  4. Step 4: Simplify right side
    465,065,047,145.70x = 324,428,247,114,948,269,834,240
  5. Step 5: Solve for x
    x = 324,428,247,114,948,269,834,240/465,065,047,145.70
  6. Step 6: Final answer
    x = 697,597,570,718.55

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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.