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Finding the Fourth Proportional to 615,341,772,072.55, 923,012,658,108.85 and 615,341,772,072.55

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Solution

The fourth proportional to 615,341,772,072.55, 923,012,658,108.85 and 615,341,772,072.55 is: 923,012,658,108.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,341,772,072.55 : 923,012,658,108.85 = 615,341,772,072.55 : x
  2. Step 2: Convert to fraction form
    615,341,772,072.55/923,012,658,108.85 = 615,341,772,072.55/x
  3. Step 3: Cross multiply
    615,341,772,072.55x = 923,012,658,108.85 × 615,341,772,072.55
  4. Step 4: Simplify right side
    615,341,772,072.55x = 567,968,244,686,094,522,646,528
  5. Step 5: Solve for x
    x = 567,968,244,686,094,522,646,528/615,341,772,072.55
  6. Step 6: Final answer
    x = 923,012,658,108.85

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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.