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Finding the Fourth Proportional to 463,574,570,748.70, 695,361,856,123.05 and 463,574,570,748.70

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Solution

The fourth proportional to 463,574,570,748.70, 695,361,856,123.05 and 463,574,570,748.70 is: 695,361,856,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,574,570,748.70 : 695,361,856,123.05 = 463,574,570,748.70 : x
  2. Step 2: Convert to fraction form
    463,574,570,748.70/695,361,856,123.05 = 463,574,570,748.70/x
  3. Step 3: Cross multiply
    463,574,570,748.70x = 695,361,856,123.05 × 463,574,570,748.70
  4. Step 4: Simplify right side
    463,574,570,748.70x = 322,352,073,967,262,213,603,328
  5. Step 5: Solve for x
    x = 322,352,073,967,262,213,603,328/463,574,570,748.70
  6. Step 6: Final answer
    x = 695,361,856,123.05

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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.