Finding the Fourth Proportional to 2,099,160,307,673.80, 3,148,740,461,510.80 and 589,927,472,103.68
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Solution
The fourth proportional to 2,099,160,307,673.80, 3,148,740,461,510.80 and 589,927,472,103.68 is: 884,891,208,155.55
Step by Step Solution
- Step 1: Write the proportion equation
2,099,160,307,673.80 : 3,148,740,461,510.80 = 589,927,472,103.68 : x - Step 2: Convert to fraction form
2,099,160,307,673.80/3,148,740,461,510.80 = 589,927,472,103.68/x - Step 3: Cross multiply
2,099,160,307,673.80x = 3,148,740,461,510.80 × 589,927,472,103.68 - Step 4: Simplify right side
2,099,160,307,673.80x = 1,857,528,500,769,641,084,223,488 - Step 5: Solve for x
x = 1,857,528,500,769,641,084,223,488/2,099,160,307,673.80 - Step 6: Final answer
x = 884,891,208,155.55
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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.