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Finding the Fourth Proportional to 110,008,653,609.15, 165,012,980,413.72 and 110,008,653,609.15

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Solution

The fourth proportional to 110,008,653,609.15, 165,012,980,413.72 and 110,008,653,609.15 is: 165,012,980,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,653,609.15 : 165,012,980,413.72 = 110,008,653,609.15 : x
  2. Step 2: Convert to fraction form
    110,008,653,609.15/165,012,980,413.72 = 110,008,653,609.15/x
  3. Step 3: Cross multiply
    110,008,653,609.15x = 165,012,980,413.72 × 110,008,653,609.15
  4. Step 4: Simplify right side
    110,008,653,609.15x = 18,152,855,803,346,376,720,384
  5. Step 5: Solve for x
    x = 18,152,855,803,346,376,720,384/110,008,653,609.15
  6. Step 6: Final answer
    x = 165,012,980,413.72

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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.