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Finding the Fourth Proportional to 549,366,902.40, 824,050,353.60 and 507,276,775.20

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Solution

The fourth proportional to 549,366,902.40, 824,050,353.60 and 507,276,775.20 is: 760,915,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,366,902.40 : 824,050,353.60 = 507,276,775.20 : x
  2. Step 2: Convert to fraction form
    549,366,902.40/824,050,353.60 = 507,276,775.20/x
  3. Step 3: Cross multiply
    549,366,902.40x = 824,050,353.60 × 507,276,775.20
  4. Step 4: Simplify right side
    549,366,902.40x = 418,021,605,976,627,712
  5. Step 5: Solve for x
    x = 418,021,605,976,627,712/549,366,902.40
  6. Step 6: Final answer
    x = 760,915,162.80

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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.