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Finding the Fourth Proportional to 567,886,977.60, 851,830,466.40 and 567,886,977.60

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Solution

The fourth proportional to 567,886,977.60, 851,830,466.40 and 567,886,977.60 is: 851,830,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,886,977.60 : 851,830,466.40 = 567,886,977.60 : x
  2. Step 2: Convert to fraction form
    567,886,977.60/851,830,466.40 = 567,886,977.60/x
  3. Step 3: Cross multiply
    567,886,977.60x = 851,830,466.40 × 567,886,977.60
  4. Step 4: Simplify right side
    567,886,977.60x = 483,743,428,991,494,336
  5. Step 5: Solve for x
    x = 483,743,428,991,494,336/567,886,977.60
  6. Step 6: Final answer
    x = 851,830,466.40

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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.