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Finding the Fourth Proportional to 2,912,547,091,813, 4,368,820,637,719.80 and 2,912,547,091,813

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Solution

The fourth proportional to 2,912,547,091,813, 4,368,820,637,719.80 and 2,912,547,091,813 is: 4,368,820,637,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,547,091,813 : 4,368,820,637,719.80 = 2,912,547,091,813 : x
  2. Step 2: Convert to fraction form
    2,912,547,091,813/4,368,820,637,719.80 = 2,912,547,091,813/x
  3. Step 3: Cross multiply
    2,912,547,091,813x = 4,368,820,637,719.80 × 2,912,547,091,813
  4. Step 4: Simplify right side
    2,912,547,091,813x = 12,724,395,843,043,419,813,314,560
  5. Step 5: Solve for x
    x = 12,724,395,843,043,419,813,314,560/2,912,547,091,813
  6. Step 6: Final answer
    x = 4,368,820,637,719.80

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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.