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Finding the Fourth Proportional to 4,782,155,444,461.50, 7,173,233,166,692.50 and 4,782,155,444,461.50

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Solution

The fourth proportional to 4,782,155,444,461.50, 7,173,233,166,692.50 and 4,782,155,444,461.50 is: 7,173,233,166,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782,155,444,461.50 : 7,173,233,166,692.50 = 4,782,155,444,461.50 : x
  2. Step 2: Convert to fraction form
    4,782,155,444,461.50/7,173,233,166,692.50 = 4,782,155,444,461.50/x
  3. Step 3: Cross multiply
    4,782,155,444,461.50x = 7,173,233,166,692.50 × 4,782,155,444,461.50
  4. Step 4: Simplify right side
    4,782,155,444,461.50x = 34,303,516,042,490,346,492,395,520
  5. Step 5: Solve for x
    x = 34,303,516,042,490,346,492,395,520/4,782,155,444,461.50
  6. Step 6: Final answer
    x = 7,173,233,166,692.50

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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.