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Finding the Fourth Proportional to 3,475,306,692,005.70, 5,212,960,038,008.70 and 3,475,306,692,005.70

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Solution

The fourth proportional to 3,475,306,692,005.70, 5,212,960,038,008.70 and 3,475,306,692,005.70 is: 5,212,960,038,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475,306,692,005.70 : 5,212,960,038,008.70 = 3,475,306,692,005.70 : x
  2. Step 2: Convert to fraction form
    3,475,306,692,005.70/5,212,960,038,008.70 = 3,475,306,692,005.70/x
  3. Step 3: Cross multiply
    3,475,306,692,005.70x = 5,212,960,038,008.70 × 3,475,306,692,005.70
  4. Step 4: Simplify right side
    3,475,306,692,005.70x = 18,116,634,905,249,925,189,074,944
  5. Step 5: Solve for x
    x = 18,116,634,905,249,925,189,074,944/3,475,306,692,005.70
  6. Step 6: Final answer
    x = 5,212,960,038,008.70

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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.