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Finding the Fourth Proportional to 1,941,698,061,199.90, 2,912,547,091,799.80 and 1,941,698,061,199.90

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Solution

The fourth proportional to 1,941,698,061,199.90, 2,912,547,091,799.80 and 1,941,698,061,199.90 is: 2,912,547,091,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941,698,061,199.90 : 2,912,547,091,799.80 = 1,941,698,061,199.90 : x
  2. Step 2: Convert to fraction form
    1,941,698,061,199.90/2,912,547,091,799.80 = 1,941,698,061,199.90/x
  3. Step 3: Cross multiply
    1,941,698,061,199.90x = 2,912,547,091,799.80 × 1,941,698,061,199.90
  4. Step 4: Simplify right side
    1,941,698,061,199.90x = 5,655,287,041,301,078,058,467,328
  5. Step 5: Solve for x
    x = 5,655,287,041,301,078,058,467,328/1,941,698,061,199.90
  6. Step 6: Final answer
    x = 2,912,547,091,799.80

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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.