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Finding the Fourth Proportional to 595,908,535,619.02, 893,862,803,428.53 and 595,908,535,619.02

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Solution

The fourth proportional to 595,908,535,619.02, 893,862,803,428.53 and 595,908,535,619.02 is: 893,862,803,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,908,535,619.02 : 893,862,803,428.53 = 595,908,535,619.02 : x
  2. Step 2: Convert to fraction form
    595,908,535,619.02/893,862,803,428.53 = 595,908,535,619.02/x
  3. Step 3: Cross multiply
    595,908,535,619.02x = 893,862,803,428.53 × 595,908,535,619.02
  4. Step 4: Simplify right side
    595,908,535,619.02x = 532,660,474,235,407,260,712,960
  5. Step 5: Solve for x
    x = 532,660,474,235,407,260,712,960/595,908,535,619.02
  6. Step 6: Final answer
    x = 893,862,803,428.53

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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.