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Finding the Fourth Proportional to 42,570,752,401.80, 63,856,128,602.70 and 42,570,752,401.80

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Solution

The fourth proportional to 42,570,752,401.80, 63,856,128,602.70 and 42,570,752,401.80 is: 63,856,128,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,570,752,401.80 : 63,856,128,602.70 = 42,570,752,401.80 : x
  2. Step 2: Convert to fraction form
    42,570,752,401.80/63,856,128,602.70 = 42,570,752,401.80/x
  3. Step 3: Cross multiply
    42,570,752,401.80x = 63,856,128,602.70 × 42,570,752,401.80
  4. Step 4: Simplify right side
    42,570,752,401.80x = 2,718,403,440,083,040,993,280
  5. Step 5: Solve for x
    x = 2,718,403,440,083,040,993,280/42,570,752,401.80
  6. Step 6: Final answer
    x = 63,856,128,602.70

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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.