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Finding the Fourth Proportional to 133,604,657,609.10, 200,406,986,413.65 and 133,604,657,609.10

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Solution

The fourth proportional to 133,604,657,609.10, 200,406,986,413.65 and 133,604,657,609.10 is: 200,406,986,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604,657,609.10 : 200,406,986,413.65 = 133,604,657,609.10 : x
  2. Step 2: Convert to fraction form
    133,604,657,609.10/200,406,986,413.65 = 133,604,657,609.10/x
  3. Step 3: Cross multiply
    133,604,657,609.10x = 200,406,986,413.65 × 133,604,657,609.10
  4. Step 4: Simplify right side
    133,604,657,609.10x = 26,775,306,802,267,263,336,448
  5. Step 5: Solve for x
    x = 26,775,306,802,267,263,336,448/133,604,657,609.10
  6. Step 6: Final answer
    x = 200,406,986,413.65

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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.