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Finding the Fourth Proportional to 668,337,445,485.60, 1,002,506,168,228.30 and 668,337,445,485.60

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Solution

The fourth proportional to 668,337,445,485.60, 1,002,506,168,228.30 and 668,337,445,485.60 is: 1,002,506,168,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,337,445,485.60 : 1,002,506,168,228.30 = 668,337,445,485.60 : x
  2. Step 2: Convert to fraction form
    668,337,445,485.60/1,002,506,168,228.30 = 668,337,445,485.60/x
  3. Step 3: Cross multiply
    668,337,445,485.60x = 1,002,506,168,228.30 × 668,337,445,485.60
  4. Step 4: Simplify right side
    668,337,445,485.60x = 670,012,411,557,259,220,353,024
  5. Step 5: Solve for x
    x = 670,012,411,557,259,220,353,024/668,337,445,485.60
  6. Step 6: Final answer
    x = 1,002,506,168,228.30

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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.