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Finding the Fourth Proportional to 660,058,915,511.32, 990,088,373,266.95 and 660,058,915,511.32

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Solution

The fourth proportional to 660,058,915,511.32, 990,088,373,266.95 and 660,058,915,511.32 is: 990,088,373,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,058,915,511.32 : 990,088,373,266.95 = 660,058,915,511.32 : x
  2. Step 2: Convert to fraction form
    660,058,915,511.32/990,088,373,266.95 = 660,058,915,511.32/x
  3. Step 3: Cross multiply
    660,058,915,511.32x = 990,088,373,266.95 × 660,058,915,511.32
  4. Step 4: Simplify right side
    660,058,915,511.32x = 653,516,657,918,949,908,807,680
  5. Step 5: Solve for x
    x = 653,516,657,918,949,908,807,680/660,058,915,511.32
  6. Step 6: Final answer
    x = 990,088,373,266.95

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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.