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Finding the Fourth Proportional to 9,567,734,539.80, 14,351,601,809.70 and 9,567,734,539.80

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Solution

The fourth proportional to 9,567,734,539.80, 14,351,601,809.70 and 9,567,734,539.80 is: 14,351,601,809.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567,734,539.80 : 14,351,601,809.70 = 9,567,734,539.80 : x
  2. Step 2: Convert to fraction form
    9,567,734,539.80/14,351,601,809.70 = 9,567,734,539.80/x
  3. Step 3: Cross multiply
    9,567,734,539.80x = 14,351,601,809.70 × 9,567,734,539.80
  4. Step 4: Simplify right side
    9,567,734,539.80x = 137,312,316,336,122,871,808
  5. Step 5: Solve for x
    x = 137,312,316,336,122,871,808/9,567,734,539.80
  6. Step 6: Final answer
    x = 14,351,601,809.70

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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.