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Finding the Fourth Proportional to 705,114,025.60, 1,057,671,038.40 and 705,114,025.60

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Solution

The fourth proportional to 705,114,025.60, 1,057,671,038.40 and 705,114,025.60 is: 1,057,671,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,114,025.60 : 1,057,671,038.40 = 705,114,025.60 : x
  2. Step 2: Convert to fraction form
    705,114,025.60/1,057,671,038.40 = 705,114,025.60/x
  3. Step 3: Cross multiply
    705,114,025.60x = 1,057,671,038.40 × 705,114,025.60
  4. Step 4: Simplify right side
    705,114,025.60x = 745,778,683,646,756,224
  5. Step 5: Solve for x
    x = 745,778,683,646,756,224/705,114,025.60
  6. Step 6: Final answer
    x = 1,057,671,038.40

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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.