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Finding the Fourth Proportional to 4,649,369,544,006.70, 6,974,054,316,009.70 and 4,649,369,544,006.70

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Solution

The fourth proportional to 4,649,369,544,006.70, 6,974,054,316,009.70 and 4,649,369,544,006.70 is: 6,974,054,316,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,369,544,006.70 : 6,974,054,316,009.70 = 4,649,369,544,006.70 : x
  2. Step 2: Convert to fraction form
    4,649,369,544,006.70/6,974,054,316,009.70 = 4,649,369,544,006.70/x
  3. Step 3: Cross multiply
    4,649,369,544,006.70x = 6,974,054,316,009.70 × 4,649,369,544,006.70
  4. Step 4: Simplify right side
    4,649,369,544,006.70x = 32,424,955,735,103,979,531,534,336
  5. Step 5: Solve for x
    x = 32,424,955,735,103,979,531,534,336/4,649,369,544,006.70
  6. Step 6: Final answer
    x = 6,974,054,316,009.70

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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.