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Finding the Fourth Proportional to 990,077,889,612.10, 1,485,116,834,418.10 and 990,077,889,612.10

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Solution

The fourth proportional to 990,077,889,612.10, 1,485,116,834,418.10 and 990,077,889,612.10 is: 1,485,116,834,418.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,077,889,612.10 : 1,485,116,834,418.10 = 990,077,889,612.10 : x
  2. Step 2: Convert to fraction form
    990,077,889,612.10/1,485,116,834,418.10 = 990,077,889,612.10/x
  3. Step 3: Cross multiply
    990,077,889,612.10x = 1,485,116,834,418.10 × 990,077,889,612.10
  4. Step 4: Simplify right side
    990,077,889,612.10x = 1,470,381,341,248,075,046,322,176
  5. Step 5: Solve for x
    x = 1,470,381,341,248,075,046,322,176/990,077,889,612.10
  6. Step 6: Final answer
    x = 1,485,116,834,418.10

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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.