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Finding the Fourth Proportional to 1,886,937,472,541.70, 2,830,406,208,812.50 and 1,886,937,472,541.70

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Solution

The fourth proportional to 1,886,937,472,541.70, 2,830,406,208,812.50 and 1,886,937,472,541.70 is: 2,830,406,208,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886,937,472,541.70 : 2,830,406,208,812.50 = 1,886,937,472,541.70 : x
  2. Step 2: Convert to fraction form
    1,886,937,472,541.70/2,830,406,208,812.50 = 1,886,937,472,541.70/x
  3. Step 3: Cross multiply
    1,886,937,472,541.70x = 2,830,406,208,812.50 × 1,886,937,472,541.70
  4. Step 4: Simplify right side
    1,886,937,472,541.70x = 5,340,799,537,922,994,260,148,224
  5. Step 5: Solve for x
    x = 5,340,799,537,922,994,260,148,224/1,886,937,472,541.70
  6. Step 6: Final answer
    x = 2,830,406,208,812.50

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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.