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Finding the Fourth Proportional to 1,617,696,075.40, 2,426,544,113.10 and 1,617,696,075.40

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Solution

The fourth proportional to 1,617,696,075.40, 2,426,544,113.10 and 1,617,696,075.40 is: 2,426,544,113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617,696,075.40 : 2,426,544,113.10 = 1,617,696,075.40 : x
  2. Step 2: Convert to fraction form
    1,617,696,075.40/2,426,544,113.10 = 1,617,696,075.40/x
  3. Step 3: Cross multiply
    1,617,696,075.40x = 2,426,544,113.10 × 1,617,696,075.40
  4. Step 4: Simplify right side
    1,617,696,075.40x = 3,925,410,888,546,843,648
  5. Step 5: Solve for x
    x = 3,925,410,888,546,843,648/1,617,696,075.40
  6. Step 6: Final answer
    x = 2,426,544,113.10

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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.