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Finding the Fourth Proportional to 2,076,585,146,838.90, 3,114,877,720,258 and 2,076,585,146,838.90

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Solution

The fourth proportional to 2,076,585,146,838.90, 3,114,877,720,258 and 2,076,585,146,838.90 is: 3,114,877,720,258

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076,585,146,838.90 : 3,114,877,720,258 = 2,076,585,146,838.90 : x
  2. Step 2: Convert to fraction form
    2,076,585,146,838.90/3,114,877,720,258 = 2,076,585,146,838.90/x
  3. Step 3: Cross multiply
    2,076,585,146,838.90x = 3,114,877,720,258 × 2,076,585,146,838.90
  4. Step 4: Simplify right side
    2,076,585,146,838.90x = 6,468,308,808,107,176,725,839,872
  5. Step 5: Solve for x
    x = 6,468,308,808,107,176,725,839,872/2,076,585,146,838.90
  6. Step 6: Final answer
    x = 3,114,877,720,258

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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.