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Finding the Fourth Proportional to 1,068,569,886,742.50, 1,602,854,830,113.60 and 1,068,569,886,742.50

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Solution

The fourth proportional to 1,068,569,886,742.50, 1,602,854,830,113.60 and 1,068,569,886,742.50 is: 1,602,854,830,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068,569,886,742.50 : 1,602,854,830,113.60 = 1,068,569,886,742.50 : x
  2. Step 2: Convert to fraction form
    1,068,569,886,742.50/1,602,854,830,113.60 = 1,068,569,886,742.50/x
  3. Step 3: Cross multiply
    1,068,569,886,742.50x = 1,602,854,830,113.60 × 1,068,569,886,742.50
  4. Step 4: Simplify right side
    1,068,569,886,742.50x = 1,712,762,404,279,158,799,597,568
  5. Step 5: Solve for x
    x = 1,712,762,404,279,158,799,597,568/1,068,569,886,742.50
  6. Step 6: Final answer
    x = 1,602,854,830,113.60

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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.