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Finding the Fourth Proportional to 9,099,681,051.40, 13,649,521,577.10 and 9,099,681,051.40

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Solution

The fourth proportional to 9,099,681,051.40, 13,649,521,577.10 and 9,099,681,051.40 is: 13,649,521,577.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099,681,051.40 : 13,649,521,577.10 = 9,099,681,051.40 : x
  2. Step 2: Convert to fraction form
    9,099,681,051.40/13,649,521,577.10 = 9,099,681,051.40/x
  3. Step 3: Cross multiply
    9,099,681,051.40x = 13,649,521,577.10 × 9,099,681,051.40
  4. Step 4: Simplify right side
    9,099,681,051.40x = 124,206,292,855,812,308,992
  5. Step 5: Solve for x
    x = 124,206,292,855,812,308,992/9,099,681,051.40
  6. Step 6: Final answer
    x = 13,649,521,577.10

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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.