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Finding the Fourth Proportional to 10,081,756,875.60, 15,122,635,313.40 and 10,081,756,875.60

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Solution

The fourth proportional to 10,081,756,875.60, 15,122,635,313.40 and 10,081,756,875.60 is: 15,122,635,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081,756,875.60 : 15,122,635,313.40 = 10,081,756,875.60 : x
  2. Step 2: Convert to fraction form
    10,081,756,875.60/15,122,635,313.40 = 10,081,756,875.60/x
  3. Step 3: Cross multiply
    10,081,756,875.60x = 15,122,635,313.40 × 10,081,756,875.60
  4. Step 4: Simplify right side
    10,081,756,875.60x = 152,462,732,548,061,822,976
  5. Step 5: Solve for x
    x = 152,462,732,548,061,822,976/10,081,756,875.60
  6. Step 6: Final answer
    x = 15,122,635,313.40

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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.