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Finding the Fourth Proportional to 366,281,008,049.85, 549,421,512,074.75 and 366,281,008,049.85

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Solution

The fourth proportional to 366,281,008,049.85, 549,421,512,074.75 and 366,281,008,049.85 is: 549,421,512,074.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,281,008,049.85 : 549,421,512,074.75 = 366,281,008,049.85 : x
  2. Step 2: Convert to fraction form
    366,281,008,049.85/549,421,512,074.75 = 366,281,008,049.85/x
  3. Step 3: Cross multiply
    366,281,008,049.85x = 549,421,512,074.75 × 366,281,008,049.85
  4. Step 4: Simplify right side
    366,281,008,049.85x = 201,242,665,287,012,266,803,200
  5. Step 5: Solve for x
    x = 201,242,665,287,012,266,803,200/366,281,008,049.85
  6. Step 6: Final answer
    x = 549,421,512,074.75

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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.