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Finding the Fourth Proportional to 549,602,021.80, 824,403,032.70 and 186,096,377.80

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Solution

The fourth proportional to 549,602,021.80, 824,403,032.70 and 186,096,377.80 is: 279,144,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,602,021.80 : 824,403,032.70 = 186,096,377.80 : x
  2. Step 2: Convert to fraction form
    549,602,021.80/824,403,032.70 = 186,096,377.80/x
  3. Step 3: Cross multiply
    549,602,021.80x = 824,403,032.70 × 186,096,377.80
  4. Step 4: Simplify right side
    549,602,021.80x = 153,418,418,232,804,960
  5. Step 5: Solve for x
    x = 153,418,418,232,804,960/549,602,021.80
  6. Step 6: Final answer
    x = 279,144,566.70

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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.