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Finding the Fourth Proportional to 34,938,709,871.60, 52,408,064,807.40 and 34,938,709,871.60

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Solution

The fourth proportional to 34,938,709,871.60, 52,408,064,807.40 and 34,938,709,871.60 is: 52,408,064,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,938,709,871.60 : 52,408,064,807.40 = 34,938,709,871.60 : x
  2. Step 2: Convert to fraction form
    34,938,709,871.60/52,408,064,807.40 = 34,938,709,871.60/x
  3. Step 3: Cross multiply
    34,938,709,871.60x = 52,408,064,807.40 × 34,938,709,871.60
  4. Step 4: Simplify right side
    34,938,709,871.60x = 1,831,070,171,237,758,795,776
  5. Step 5: Solve for x
    x = 1,831,070,171,237,758,795,776/34,938,709,871.60
  6. Step 6: Final answer
    x = 52,408,064,807.40

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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.