Home / 546,938,703.47-820,406,827.76-422,622,114.77

Finding the Fourth Proportional to 546,938,703.47, 820,406,827.76 and 422,622,114.77

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Solution

The fourth proportional to 546,938,703.47, 820,406,827.76 and 422,622,114.77 is: 633,932,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,938,703.47 : 820,406,827.76 = 422,622,114.77 : x
  2. Step 2: Convert to fraction form
    546,938,703.47/820,406,827.76 = 422,622,114.77/x
  3. Step 3: Cross multiply
    546,938,703.47x = 820,406,827.76 × 422,622,114.77
  4. Step 4: Simplify right side
    546,938,703.47x = 346,722,068,519,616,256
  5. Step 5: Solve for x
    x = 346,722,068,519,616,256/546,938,703.47
  6. Step 6: Final answer
    x = 633,932,223.70

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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.