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Finding the Fourth Proportional to 366,281,008,052.90, 549,421,512,079.40 and 366,281,008,052.90

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Solution

The fourth proportional to 366,281,008,052.90, 549,421,512,079.40 and 366,281,008,052.90 is: 549,421,512,079.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,281,008,052.90 : 549,421,512,079.40 = 366,281,008,052.90 : x
  2. Step 2: Convert to fraction form
    366,281,008,052.90/549,421,512,079.40 = 366,281,008,052.90/x
  3. Step 3: Cross multiply
    366,281,008,052.90x = 549,421,512,079.40 × 366,281,008,052.90
  4. Step 4: Simplify right side
    366,281,008,052.90x = 201,242,665,290,391,231,660,032
  5. Step 5: Solve for x
    x = 201,242,665,290,391,231,660,032/366,281,008,052.90
  6. Step 6: Final answer
    x = 549,421,512,079.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.