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Finding the Fourth Proportional to 822,075,618.78, 1,233,113,428.17 and 822,075,618.78

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Solution

The fourth proportional to 822,075,618.78, 1,233,113,428.17 and 822,075,618.78 is: 1,233,113,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,075,618.78 : 1,233,113,428.17 = 822,075,618.78 : x
  2. Step 2: Convert to fraction form
    822,075,618.78/1,233,113,428.17 = 822,075,618.78/x
  3. Step 3: Cross multiply
    822,075,618.78x = 1,233,113,428.17 × 822,075,618.78
  4. Step 4: Simplify right side
    822,075,618.78x = 1,013,712,484,488,779,904
  5. Step 5: Solve for x
    x = 1,013,712,484,488,779,904/822,075,618.78
  6. Step 6: Final answer
    x = 1,233,113,428.17

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1.5x scale

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.