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Finding the Fourth Proportional to 366,281,009,793.60, 549,421,514,690.40 and 366,281,009,793.60

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Solution

The fourth proportional to 366,281,009,793.60, 549,421,514,690.40 and 366,281,009,793.60 is: 549,421,514,690.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,281,009,793.60 : 549,421,514,690.40 = 366,281,009,793.60 : x
  2. Step 2: Convert to fraction form
    366,281,009,793.60/549,421,514,690.40 = 366,281,009,793.60/x
  3. Step 3: Cross multiply
    366,281,009,793.60x = 549,421,514,690.40 × 366,281,009,793.60
  4. Step 4: Simplify right side
    366,281,009,793.60x = 201,242,667,203,128,945,803,264
  5. Step 5: Solve for x
    x = 201,242,667,203,128,945,803,264/366,281,009,793.60
  6. Step 6: Final answer
    x = 549,421,514,690.40

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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.