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Finding the Fourth Proportional to 6,875,640,008.40, 10,313,460,012.60 and 6,875,640,008.40

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Solution

The fourth proportional to 6,875,640,008.40, 10,313,460,012.60 and 6,875,640,008.40 is: 10,313,460,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875,640,008.40 : 10,313,460,012.60 = 6,875,640,008.40 : x
  2. Step 2: Convert to fraction form
    6,875,640,008.40/10,313,460,012.60 = 6,875,640,008.40/x
  3. Step 3: Cross multiply
    6,875,640,008.40x = 10,313,460,012.60 × 6,875,640,008.40
  4. Step 4: Simplify right side
    6,875,640,008.40x = 70,911,638,287,666,126,848
  5. Step 5: Solve for x
    x = 70,911,638,287,666,126,848/6,875,640,008.40
  6. Step 6: Final answer
    x = 10,313,460,012.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.