Finding the Fourth Proportional to 209,935,164,913.84, 289,710,340,386.58 and 118,502,961,106.23
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Solution
The fourth proportional to 209,935,164,913.84, 289,710,340,386.58 and 118,502,961,106.23 is: 163,533,980,660.14
Step by Step Solution
- Step 1: Write the proportion equation
209,935,164,913.84 : 289,710,340,386.58 = 118,502,961,106.23 : x - Step 2: Convert to fraction form
209,935,164,913.84/289,710,340,386.58 = 118,502,961,106.23/x - Step 3: Cross multiply
209,935,164,913.84x = 289,710,340,386.58 × 118,502,961,106.23 - Step 4: Simplify right side
209,935,164,913.84x = 34,331,533,198,903,545,430,016 - Step 5: Solve for x
x = 34,331,533,198,903,545,430,016/209,935,164,913.84 - Step 6: Final answer
x = 163,533,980,660.14
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.