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Finding the Fourth Proportional to 186,017,473,400.70, 279,026,210,101.06 and 186,017,473,400.70

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Solution

The fourth proportional to 186,017,473,400.70, 279,026,210,101.06 and 186,017,473,400.70 is: 279,026,210,101.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,017,473,400.70 : 279,026,210,101.06 = 186,017,473,400.70 : x
  2. Step 2: Convert to fraction form
    186,017,473,400.70/279,026,210,101.06 = 186,017,473,400.70/x
  3. Step 3: Cross multiply
    186,017,473,400.70x = 279,026,210,101.06 × 186,017,473,400.70
  4. Step 4: Simplify right side
    186,017,473,400.70x = 51,903,750,615,572,057,948,160
  5. Step 5: Solve for x
    x = 51,903,750,615,572,057,948,160/186,017,473,400.70
  6. Step 6: Final answer
    x = 279,026,210,101.06

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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.