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Finding the Fourth Proportional to 488,734,809.40, 733,102,214.10 and 488,734,809.40

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Solution

The fourth proportional to 488,734,809.40, 733,102,214.10 and 488,734,809.40 is: 733,102,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,734,809.40 : 733,102,214.10 = 488,734,809.40 : x
  2. Step 2: Convert to fraction form
    488,734,809.40/733,102,214.10 = 488,734,809.40/x
  3. Step 3: Cross multiply
    488,734,809.40x = 733,102,214.10 × 488,734,809.40
  4. Step 4: Simplify right side
    488,734,809.40x = 358,292,570,878,881,472
  5. Step 5: Solve for x
    x = 358,292,570,878,881,472/488,734,809.40
  6. Step 6: Final answer
    x = 733,102,214.10

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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.