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Finding the Fourth Proportional to 549,366,903.90, 824,050,355.85 and 507,276,776.70

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Solution

The fourth proportional to 549,366,903.90, 824,050,355.85 and 507,276,776.70 is: 760,915,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,366,903.90 : 824,050,355.85 = 507,276,776.70 : x
  2. Step 2: Convert to fraction form
    549,366,903.90/824,050,355.85 = 507,276,776.70/x
  3. Step 3: Cross multiply
    549,366,903.90x = 824,050,355.85 × 507,276,776.70
  4. Step 4: Simplify right side
    549,366,903.90x = 418,021,608,354,075,968
  5. Step 5: Solve for x
    x = 418,021,608,354,075,968/549,366,903.90
  6. Step 6: Final answer
    x = 760,915,165.05

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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.