Home / 302,098,830,903.63-416,894,265,843.75-164,921,657,123.47

Finding the Fourth Proportional to 302,098,830,903.63, 416,894,265,843.75 and 164,921,657,123.47

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Solution

The fourth proportional to 302,098,830,903.63, 416,894,265,843.75 and 164,921,657,123.47 is: 227,590,729,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,098,830,903.63 : 416,894,265,843.75 = 164,921,657,123.47 : x
  2. Step 2: Convert to fraction form
    302,098,830,903.63/416,894,265,843.75 = 164,921,657,123.47/x
  3. Step 3: Cross multiply
    302,098,830,903.63x = 416,894,265,843.75 × 164,921,657,123.47
  4. Step 4: Simplify right side
    302,098,830,903.63x = 68,754,893,168,223,685,967,872
  5. Step 5: Solve for x
    x = 68,754,893,168,223,685,967,872/302,098,830,903.63
  6. Step 6: Final answer
    x = 227,590,729,042.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.