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Finding the Fourth Proportional to 109,025,175,527.60, 163,537,763,291.40 and 109,025,175,527.60

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Solution

The fourth proportional to 109,025,175,527.60, 163,537,763,291.40 and 109,025,175,527.60 is: 163,537,763,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,025,175,527.60 : 163,537,763,291.40 = 109,025,175,527.60 : x
  2. Step 2: Convert to fraction form
    109,025,175,527.60/163,537,763,291.40 = 109,025,175,527.60/x
  3. Step 3: Cross multiply
    109,025,175,527.60x = 163,537,763,291.40 × 109,025,175,527.60
  4. Step 4: Simplify right side
    109,025,175,527.60x = 17,829,733,348,235,985,027,072
  5. Step 5: Solve for x
    x = 17,829,733,348,235,985,027,072/109,025,175,527.60
  6. Step 6: Final answer
    x = 163,537,763,291.40

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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.