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Finding the Fourth Proportional to 133,604,658,020.10, 200,406,987,030.15 and 133,604,658,020.10

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Solution

The fourth proportional to 133,604,658,020.10, 200,406,987,030.15 and 133,604,658,020.10 is: 200,406,987,030.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,604,658,020.10 : 200,406,987,030.15 = 133,604,658,020.10 : x
  2. Step 2: Convert to fraction form
    133,604,658,020.10/200,406,987,030.15 = 133,604,658,020.10/x
  3. Step 3: Cross multiply
    133,604,658,020.10x = 200,406,987,030.15 × 133,604,658,020.10
  4. Step 4: Simplify right side
    133,604,658,020.10x = 26,775,306,967,001,807,716,352
  5. Step 5: Solve for x
    x = 26,775,306,967,001,807,716,352/133,604,658,020.10
  6. Step 6: Final answer
    x = 200,406,987,030.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.