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Finding the Fourth Proportional to 4,735,134,501.80, 6,640,072,214.20 and 4,735,134,501.80

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Solution

The fourth proportional to 4,735,134,501.80, 6,640,072,214.20 and 4,735,134,501.80 is: 6,640,072,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,134,501.80 : 6,640,072,214.20 = 4,735,134,501.80 : x
  2. Step 2: Convert to fraction form
    4,735,134,501.80/6,640,072,214.20 = 4,735,134,501.80/x
  3. Step 3: Cross multiply
    4,735,134,501.80x = 6,640,072,214.20 × 4,735,134,501.80
  4. Step 4: Simplify right side
    4,735,134,501.80x = 31,441,635,035,901,939,712
  5. Step 5: Solve for x
    x = 31,441,635,035,901,939,712/4,735,134,501.80
  6. Step 6: Final answer
    x = 6,640,072,214.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.