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Finding the Fourth Proportional to 314,847,648,751.30, 472,271,473,126.96 and 314,847,648,751.30

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Solution

The fourth proportional to 314,847,648,751.30, 472,271,473,126.96 and 314,847,648,751.30 is: 472,271,473,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,847,648,751.30 : 472,271,473,126.96 = 314,847,648,751.30 : x
  2. Step 2: Convert to fraction form
    314,847,648,751.30/472,271,473,126.96 = 314,847,648,751.30/x
  3. Step 3: Cross multiply
    314,847,648,751.30x = 472,271,473,126.96 × 314,847,648,751.30
  4. Step 4: Simplify right side
    314,847,648,751.30x = 148,693,562,886,336,127,434,752
  5. Step 5: Solve for x
    x = 148,693,562,886,336,127,434,752/314,847,648,751.30
  6. Step 6: Final answer
    x = 472,271,473,126.96

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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.