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Finding the Fourth Proportional to 596,969,208,266.40, 895,453,812,399.60 and 596,969,208,266.40

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Solution

The fourth proportional to 596,969,208,266.40, 895,453,812,399.60 and 596,969,208,266.40 is: 895,453,812,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,969,208,266.40 : 895,453,812,399.60 = 596,969,208,266.40 : x
  2. Step 2: Convert to fraction form
    596,969,208,266.40/895,453,812,399.60 = 596,969,208,266.40/x
  3. Step 3: Cross multiply
    596,969,208,266.40x = 895,453,812,399.60 × 596,969,208,266.40
  4. Step 4: Simplify right side
    596,969,208,266.40x = 534,558,353,427,318,720,954,368
  5. Step 5: Solve for x
    x = 534,558,353,427,318,720,954,368/596,969,208,266.40
  6. Step 6: Final answer
    x = 895,453,812,399.60

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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.