Finding the Fourth Proportional to 2,099,160,307,688.40, 3,148,740,461,532.60 and 589,927,472,118.24
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Solution
The fourth proportional to 2,099,160,307,688.40, 3,148,740,461,532.60 and 589,927,472,118.24 is: 884,891,208,177.36
Step by Step Solution
- Step 1: Write the proportion equation
2,099,160,307,688.40 : 3,148,740,461,532.60 = 589,927,472,118.24 : x - Step 2: Convert to fraction form
2,099,160,307,688.40/3,148,740,461,532.60 = 589,927,472,118.24/x - Step 3: Cross multiply
2,099,160,307,688.40x = 3,148,740,461,532.60 × 589,927,472,118.24 - Step 4: Simplify right side
2,099,160,307,688.40x = 1,857,528,500,828,347,113,144,320 - Step 5: Solve for x
x = 1,857,528,500,828,347,113,144,320/2,099,160,307,688.40 - Step 6: Final answer
x = 884,891,208,177.36
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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.