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Finding the Fourth Proportional to 9,312,996,847.60, 13,969,495,271.40 and 9,312,996,847.60

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Solution

The fourth proportional to 9,312,996,847.60, 13,969,495,271.40 and 9,312,996,847.60 is: 13,969,495,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312,996,847.60 : 13,969,495,271.40 = 9,312,996,847.60 : x
  2. Step 2: Convert to fraction form
    9,312,996,847.60/13,969,495,271.40 = 9,312,996,847.60/x
  3. Step 3: Cross multiply
    9,312,996,847.60x = 13,969,495,271.40 × 9,312,996,847.60
  4. Step 4: Simplify right side
    9,312,996,847.60x = 130,097,865,425,111,302,144
  5. Step 5: Solve for x
    x = 130,097,865,425,111,302,144/9,312,996,847.60
  6. Step 6: Final answer
    x = 13,969,495,271.40

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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.