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Finding the Fourth Proportional to 259,697,552,048.40, 388,926,455,290.20 and 259,697,552,048.40

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Solution

The fourth proportional to 259,697,552,048.40, 388,926,455,290.20 and 259,697,552,048.40 is: 388,926,455,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,697,552,048.40 : 388,926,455,290.20 = 259,697,552,048.40 : x
  2. Step 2: Convert to fraction form
    259,697,552,048.40/388,926,455,290.20 = 259,697,552,048.40/x
  3. Step 3: Cross multiply
    259,697,552,048.40x = 388,926,455,290.20 × 259,697,552,048.40
  4. Step 4: Simplify right side
    259,697,552,048.40x = 101,003,248,365,726,437,736,448
  5. Step 5: Solve for x
    x = 101,003,248,365,726,437,736,448/259,697,552,048.40
  6. Step 6: Final answer
    x = 388,926,455,290.20

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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.