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Finding the Fourth Proportional to 11,959,117,457.60, 17,938,676,186.40 and 11,959,117,457.60

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Solution

The fourth proportional to 11,959,117,457.60, 17,938,676,186.40 and 11,959,117,457.60 is: 17,938,676,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,959,117,457.60 : 17,938,676,186.40 = 11,959,117,457.60 : x
  2. Step 2: Convert to fraction form
    11,959,117,457.60/17,938,676,186.40 = 11,959,117,457.60/x
  3. Step 3: Cross multiply
    11,959,117,457.60x = 17,938,676,186.40 × 11,959,117,457.60
  4. Step 4: Simplify right side
    11,959,117,457.60x = 214,530,735,547,009,662,976
  5. Step 5: Solve for x
    x = 214,530,735,547,009,662,976/11,959,117,457.60
  6. Step 6: Final answer
    x = 17,938,676,186.40

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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.