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Finding the Fourth Proportional to 549,377,864.40, 824,066,796.60 and 507,287,737.20

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Solution

The fourth proportional to 549,377,864.40, 824,066,796.60 and 507,287,737.20 is: 760,931,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,377,864.40 : 824,066,796.60 = 507,287,737.20 : x
  2. Step 2: Convert to fraction form
    549,377,864.40/824,066,796.60 = 507,287,737.20/x
  3. Step 3: Cross multiply
    549,377,864.40x = 824,066,796.60 × 507,287,737.20
  4. Step 4: Simplify right side
    549,377,864.40x = 418,038,980,548,866,624
  5. Step 5: Solve for x
    x = 418,038,980,548,866,624/549,377,864.40
  6. Step 6: Final answer
    x = 760,931,605.80

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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.