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Finding the Fourth Proportional to 25,504,828,993,316, 38,257,243,489,968 and 25,504,828,993,316

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Solution

The fourth proportional to 25,504,828,993,316, 38,257,243,489,968 and 25,504,828,993,316 is: 38,257,243,489,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504,828,993,316 : 38,257,243,489,968 = 25,504,828,993,316 : x
  2. Step 2: Convert to fraction form
    25,504,828,993,316/38,257,243,489,968 = 25,504,828,993,316/x
  3. Step 3: Cross multiply
    25,504,828,993,316x = 38,257,243,489,968 × 25,504,828,993,316
  4. Step 4: Simplify right side
    25,504,828,993,316x = 975,744,452,967,285,687,695,966,208
  5. Step 5: Solve for x
    x = 975,744,452,967,285,687,695,966,208/25,504,828,993,316
  6. Step 6: Final answer
    x = 38,257,243,489,968

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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.