Finding the Fourth Proportional to 39,962,341,762,042, 59,901,205,652,490 and 13,442,009,078,807
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Solution
The fourth proportional to 39,962,341,762,042, 59,901,205,652,490 and 13,442,009,078,807 is: 20,148,782,946,875.83
Step by Step Solution
- Step 1: Write the proportion equation
39,962,341,762,042 : 59,901,205,652,490 = 13,442,009,078,807 : x - Step 2: Convert to fraction form
39,962,341,762,042/59,901,205,652,490 = 13,442,009,078,807/x - Step 3: Cross multiply
39,962,341,762,042x = 59,901,205,652,490 × 13,442,009,078,807 - Step 4: Simplify right side
39,962,341,762,042x = 805,192,550,212,255,789,692,747,776 - Step 5: Solve for x
x = 805,192,550,212,255,789,692,747,776/39,962,341,762,042 - Step 6: Final answer
x = 20,148,782,946,875.83
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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.