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Finding the Fourth Proportional to 549,603,334.40, 824,405,001.60 and 291,323,008.40

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Solution

The fourth proportional to 549,603,334.40, 824,405,001.60 and 291,323,008.40 is: 436,984,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,603,334.40 : 824,405,001.60 = 291,323,008.40 : x
  2. Step 2: Convert to fraction form
    549,603,334.40/824,405,001.60 = 291,323,008.40/x
  3. Step 3: Cross multiply
    549,603,334.40x = 824,405,001.60 × 291,323,008.40
  4. Step 4: Simplify right side
    549,603,334.40x = 240,168,145,206,118,816
  5. Step 5: Solve for x
    x = 240,168,145,206,118,816/549,603,334.40
  6. Step 6: Final answer
    x = 436,984,512.60

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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.