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Finding the Fourth Proportional to 6,560,953,369,734.40, 9,841,430,054,601.40 and 6,560,953,369,734.40

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Solution

The fourth proportional to 6,560,953,369,734.40, 9,841,430,054,601.40 and 6,560,953,369,734.40 is: 9,841,430,054,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560,953,369,734.40 : 9,841,430,054,601.40 = 6,560,953,369,734.40 : x
  2. Step 2: Convert to fraction form
    6,560,953,369,734.40/9,841,430,054,601.40 = 6,560,953,369,734.40/x
  3. Step 3: Cross multiply
    6,560,953,369,734.40x = 9,841,430,054,601.40 × 6,560,953,369,734.40
  4. Step 4: Simplify right side
    6,560,953,369,734.40x = 64,569,163,679,742,459,440,529,408
  5. Step 5: Solve for x
    x = 64,569,163,679,742,459,440,529,408/6,560,953,369,734.40
  6. Step 6: Final answer
    x = 9,841,430,054,601.40

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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.