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Finding the Fourth Proportional to 34,938,710,509.60, 52,408,065,764.48 and 34,938,710,509.60

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Solution

The fourth proportional to 34,938,710,509.60, 52,408,065,764.48 and 34,938,710,509.60 is: 52,408,065,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938,710,509.60 : 52,408,065,764.48 = 34,938,710,509.60 : x
  2. Step 2: Convert to fraction form
    34,938,710,509.60/52,408,065,764.48 = 34,938,710,509.60/x
  3. Step 3: Cross multiply
    34,938,710,509.60x = 52,408,065,764.48 × 34,938,710,509.60
  4. Step 4: Simplify right side
    34,938,710,509.60x = 1,831,070,238,113,245,429,760
  5. Step 5: Solve for x
    x = 1,831,070,238,113,245,429,760/34,938,710,509.60
  6. Step 6: Final answer
    x = 52,408,065,764.48

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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.