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Finding the Fourth Proportional to 10,294,768,296.90, 15,442,152,445.35 and 10,294,768,296.90

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Solution

The fourth proportional to 10,294,768,296.90, 15,442,152,445.35 and 10,294,768,296.90 is: 15,442,152,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294,768,296.90 : 15,442,152,445.35 = 10,294,768,296.90 : x
  2. Step 2: Convert to fraction form
    10,294,768,296.90/15,442,152,445.35 = 10,294,768,296.90/x
  3. Step 3: Cross multiply
    10,294,768,296.90x = 15,442,152,445.35 × 10,294,768,296.90
  4. Step 4: Simplify right side
    10,294,768,296.90x = 158,973,381,430,285,991,936
  5. Step 5: Solve for x
    x = 158,973,381,430,285,991,936/10,294,768,296.90
  6. Step 6: Final answer
    x = 15,442,152,445.35

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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.