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Finding the Fourth Proportional to 366,281,008,077.60, 549,421,512,116.40 and 366,281,008,077.60

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Solution

The fourth proportional to 366,281,008,077.60, 549,421,512,116.40 and 366,281,008,077.60 is: 549,421,512,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,281,008,077.60 : 549,421,512,116.40 = 366,281,008,077.60 : x
  2. Step 2: Convert to fraction form
    366,281,008,077.60/549,421,512,116.40 = 366,281,008,077.60/x
  3. Step 3: Cross multiply
    366,281,008,077.60x = 549,421,512,116.40 × 366,281,008,077.60
  4. Step 4: Simplify right side
    366,281,008,077.60x = 201,242,665,317,514,319,233,024
  5. Step 5: Solve for x
    x = 201,242,665,317,514,319,233,024/366,281,008,077.60
  6. Step 6: Final answer
    x = 549,421,512,116.40

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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.