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Finding the Fourth Proportional to 218,050,358,465.70, 327,075,537,698.55 and 218,050,358,465.70

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Solution

The fourth proportional to 218,050,358,465.70, 327,075,537,698.55 and 218,050,358,465.70 is: 327,075,537,698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,050,358,465.70 : 327,075,537,698.55 = 218,050,358,465.70 : x
  2. Step 2: Convert to fraction form
    218,050,358,465.70/327,075,537,698.55 = 218,050,358,465.70/x
  3. Step 3: Cross multiply
    218,050,358,465.70x = 327,075,537,698.55 × 218,050,358,465.70
  4. Step 4: Simplify right side
    218,050,358,465.70x = 71,318,938,240,530,400,673,792
  5. Step 5: Solve for x
    x = 71,318,938,240,530,400,673,792/218,050,358,465.70
  6. Step 6: Final answer
    x = 327,075,537,698.55

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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.