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Finding the Fourth Proportional to 924,836,765.40, 1,387,255,148.10 and 924,836,765.40

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Solution

The fourth proportional to 924,836,765.40, 1,387,255,148.10 and 924,836,765.40 is: 1,387,255,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,836,765.40 : 1,387,255,148.10 = 924,836,765.40 : x
  2. Step 2: Convert to fraction form
    924,836,765.40/1,387,255,148.10 = 924,836,765.40/x
  3. Step 3: Cross multiply
    924,836,765.40x = 1,387,255,148.10 × 924,836,765.40
  4. Step 4: Simplify right side
    924,836,765.40x = 1,282,984,563,953,301,760
  5. Step 5: Solve for x
    x = 1,282,984,563,953,301,760/924,836,765.40
  6. Step 6: Final answer
    x = 1,387,255,148.10

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1.5x scale

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.