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Finding the Fourth Proportional to 975,934,656,000.90, 1,463,901,984,001.40 and 975,934,656,000.90

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Solution

The fourth proportional to 975,934,656,000.90, 1,463,901,984,001.40 and 975,934,656,000.90 is: 1,463,901,984,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,934,656,000.90 : 1,463,901,984,001.40 = 975,934,656,000.90 : x
  2. Step 2: Convert to fraction form
    975,934,656,000.90/1,463,901,984,001.40 = 975,934,656,000.90/x
  3. Step 3: Cross multiply
    975,934,656,000.90x = 1,463,901,984,001.40 × 975,934,656,000.90
  4. Step 4: Simplify right side
    975,934,656,000.90x = 1,428,672,679,175,441,268,867,072
  5. Step 5: Solve for x
    x = 1,428,672,679,175,441,268,867,072/975,934,656,000.90
  6. Step 6: Final answer
    x = 1,463,901,984,001.40

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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.