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Finding the Fourth Proportional to 668,868,200.35, 1,003,302,300.53 and 668,868,200.35

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Solution

The fourth proportional to 668,868,200.35, 1,003,302,300.53 and 668,868,200.35 is: 1,003,302,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,868,200.35 : 1,003,302,300.53 = 668,868,200.35 : x
  2. Step 2: Convert to fraction form
    668,868,200.35/1,003,302,300.53 = 668,868,200.35/x
  3. Step 3: Cross multiply
    668,868,200.35x = 1,003,302,300.53 × 668,868,200.35
  4. Step 4: Simplify right side
    668,868,200.35x = 671,077,004,159,171,584
  5. Step 5: Solve for x
    x = 671,077,004,159,171,584/668,868,200.35
  6. Step 6: Final answer
    x = 1,003,302,300.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.