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Finding the Fourth Proportional to 851,384,428.80, 1,277,076,643.20 and 851,384,428.80

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Solution

The fourth proportional to 851,384,428.80, 1,277,076,643.20 and 851,384,428.80 is: 1,277,076,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,384,428.80 : 1,277,076,643.20 = 851,384,428.80 : x
  2. Step 2: Convert to fraction form
    851,384,428.80/1,277,076,643.20 = 851,384,428.80/x
  3. Step 3: Cross multiply
    851,384,428.80x = 1,277,076,643.20 × 851,384,428.80
  4. Step 4: Simplify right side
    851,384,428.80x = 1,087,283,168,404,653,440
  5. Step 5: Solve for x
    x = 1,087,283,168,404,653,440/851,384,428.80
  6. Step 6: Final answer
    x = 1,277,076,643.20

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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.