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Finding the Fourth Proportional to 671,271,948,000.30, 1,006,907,922,000.40 and 671,271,948,000.30

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Solution

The fourth proportional to 671,271,948,000.30, 1,006,907,922,000.40 and 671,271,948,000.30 is: 1,006,907,922,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,271,948,000.30 : 1,006,907,922,000.40 = 671,271,948,000.30 : x
  2. Step 2: Convert to fraction form
    671,271,948,000.30/1,006,907,922,000.40 = 671,271,948,000.30/x
  3. Step 3: Cross multiply
    671,271,948,000.30x = 1,006,907,922,000.40 × 671,271,948,000.30
  4. Step 4: Simplify right side
    671,271,948,000.30x = 675,909,042,258,142,725,931,008
  5. Step 5: Solve for x
    x = 675,909,042,258,142,725,931,008/671,271,948,000.30
  6. Step 6: Final answer
    x = 1,006,907,922,000.40

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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.