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Finding the Fourth Proportional to 549,366,940.90, 824,050,411.35 and 507,276,813.70

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Solution

The fourth proportional to 549,366,940.90, 824,050,411.35 and 507,276,813.70 is: 760,915,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,366,940.90 : 824,050,411.35 = 507,276,813.70 : x
  2. Step 2: Convert to fraction form
    549,366,940.90/824,050,411.35 = 507,276,813.70/x
  3. Step 3: Cross multiply
    549,366,940.90x = 824,050,411.35 × 507,276,813.70
  4. Step 4: Simplify right side
    549,366,940.90x = 418,021,666,997,802,304
  5. Step 5: Solve for x
    x = 418,021,666,997,802,304/549,366,940.90
  6. Step 6: Final answer
    x = 760,915,220.55

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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.